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Finding the Fourth Proportional to 202,912.90, 304,369.35 and 199,413.70

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Solution

The fourth proportional to 202,912.90, 304,369.35 and 199,413.70 is: 299,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,912.90 : 304,369.35 = 199,413.70 : x
  2. Step 2: Convert to fraction form
    202,912.90/304,369.35 = 199,413.70/x
  3. Step 3: Cross multiply
    202,912.90x = 304,369.35 × 199,413.70
  4. Step 4: Simplify right side
    202,912.90x = 60,695,418,250.10
  5. Step 5: Solve for x
    x = 60,695,418,250.10/202,912.90
  6. Step 6: Final answer
    x = 299,120.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.