Final answer:
The balanced chemical equation is FeCl3 + 3NH4OH → Fe(OH)3 + 3NH4Cl.
Step-by-step explanation:
The balanced chemical equation for the reaction between Iron [III] chloride and ammonium hydroxide solution is:
FeCl3 + 3NH4OH → Fe(OH)3 + 3NH4Cl
In this equation, one molecule of Iron [III] chloride reacts with three molecules of ammonium hydroxide to produce one molecule of Iron [III] hydroxide and three molecules of ammonium chloride.