In the presence of strong electrolyte, degree of dissociation of weak electrolyte (having a common ion) gets suppressed due to common ion effect.
$NH _{4} Cl$, being a strong electrolyte, dissociates as
$NH _{4} Cl \longrightarrow NH _{4}^{+}+ Cl ^{-}$
and $NH _{4} OH$ as,
$\underset{\text { weak electrolyte }}{ NH _{4} OH } \rightleftharpoons \underset{\text { common ion }}{ NH _{4}^{+}}+ OH ^{-}$
Due to the presence of common ion, the degree of dissociation of $NH _{4} OH$ decreases. Thus, less $OH ^{-}$ ions are produced which are sufficient only for the precipitation of hydroxides of III group radicals and not of higher group radicals.