To solve the expression \((97548 + 69432) : (16400 - 15338)\), we first perform the operations in the parentheses.
Calculate \(97548 + 69432\): \[ 97548 + 69432 = 166980 \]
Calculate \(16400 - 15338\): \[ 16400 - 15338 = 1062 \]
Now, we have the expression as: \[ 166980 : 1062 \]
Next, we divide \(166980\) by \(1062\): \[ 166980 \div 1062 \approx 157 \]
Thus, the final result is: \[ \boxed{157} \]