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Finding the Fourth Proportional to 138,641.80, 207,962.70 and 137,475.40

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Solution

The fourth proportional to 138,641.80, 207,962.70 and 137,475.40 is: 206,213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,641.80 : 207,962.70 = 137,475.40 : x
  2. Step 2: Convert to fraction form
    138,641.80/207,962.70 = 137,475.40/x
  3. Step 3: Cross multiply
    138,641.80x = 207,962.70 × 137,475.40
  4. Step 4: Simplify right side
    138,641.80x = 28,589,755,367.58
  5. Step 5: Solve for x
    x = 28,589,755,367.58/138,641.80
  6. Step 6: Final answer
    x = 206,213.10

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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.