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Finding the Fourth Proportional to 137,712.70, 206,569.05 and 44,227.90

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Solution

The fourth proportional to 137,712.70, 206,569.05 and 44,227.90 is: 66,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,712.70 : 206,569.05 = 44,227.90 : x
  2. Step 2: Convert to fraction form
    137,712.70/206,569.05 = 44,227.90/x
  3. Step 3: Cross multiply
    137,712.70x = 206,569.05 × 44,227.90
  4. Step 4: Simplify right side
    137,712.70x = 9,136,115,286.50
  5. Step 5: Solve for x
    x = 9,136,115,286.50/137,712.70
  6. Step 6: Final answer
    x = 66,341.85

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Why These Related Problems?

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