An analyst is using exponential smoothing to forecast the daily demand for a key product. The analyst starts with a naive forecast for time period $2,$ then begins using exponential smoothing with a smoothing constant of $0\mathrm{.}25.$ The table below shows some of the calculations $.$ period actual forecast $116221881623172168\mathrm{.}54170169\mathrm{.}385203?$ What is the predicted demand for time period $5?$