A multinational security software company is planning an overseas expansion that will cost $$55$ million of today$$s dollars $3$ years from now. Due to a robust economy in Europe, the cost is expected to increase by $19\%$ per year in each of the next $3$ years. Assuming the inflation rate is $4\%$ per year, determine the required annual deposit into a fund that earns the market rate of $10\%$ per year to ensure that the amount needed in $3$ years will be available.

The required annual deposit is