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Finding the Fourth Proportional to 102,500.80, 141,397.32 and 83,401.90

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Solution

The fourth proportional to 102,500.80, 141,397.32 and 83,401.90 is: 115,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,500.80 : 141,397.32 = 83,401.90 : x
  2. Step 2: Convert to fraction form
    102,500.80/141,397.32 = 83,401.90/x
  3. Step 3: Cross multiply
    102,500.80x = 141,397.32 × 83,401.90
  4. Step 4: Simplify right side
    102,500.80x = 11,792,805,142.91
  5. Step 5: Solve for x
    x = 11,792,805,142.91/102,500.80
  6. Step 6: Final answer
    x = 115,050.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.