Final answer:
The nurse should notify the provider immediately for the finding of flank pain with radiation toward the scrotum. The other findings should also be reported to the provider, but they may not require immediate notification.
Step-by-step explanation:
The nurse should notify the provider immediately for the finding of flank pain with radiation toward the scrotum. This can be a symptom of renal calculi, specifically renal colic, which is caused by an obstruction in the ureter. The nurse should notify the provider so that appropriate treatment can be provided to alleviate the pain and address the underlying cause.
The other findings mentioned, such as 150 mL emesis, oliguria with bladder distention, and blood pressure 160/90 mmHg, should also be reported to the provider, but they may not require immediate notification unlike the flank pain with radiation toward the scrotum.