Let's take this problem step by step:
Step 1: First, the problem states that the caterer prepares four times as many pizzas as she usually prepares for a large party. It also states that she usually prepares six pizzas.
Step 2: 6 x 4 = 24
Step 3: The caterer estimates that each party guest will eat 1/4 of a pizza.
Step 4: 24 pizzas divided by 1/4 of a pizza is equivalent to 24/(1/4)
Step 5: You can take the reciprocal of 1/4 and multiply instead.
Step 6: 24 x 4 = 96
The answer is 96 party guests.