A high school basketball game between the Knights and Dragons was tied at the end of the first quarter. The number of points scored by the Knights in each of the four quarters formed an increasing geometric sequence, and the number of points scored by the Dragons in each of the four quarters formed an increasing arithmetic sequence. At the end of the fourth quarter, the Knights had won by four points. Neither team scored more than 100 points. What was the total number of points scored by the two teams in the first half?