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Finding the Fourth Proportional to 138,637.80, 207,956.70 and 137,471.40

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Solution

The fourth proportional to 138,637.80, 207,956.70 and 137,471.40 is: 206,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,637.80 : 207,956.70 = 137,471.40 : x
  2. Step 2: Convert to fraction form
    138,637.80/207,956.70 = 137,471.40/x
  3. Step 3: Cross multiply
    138,637.80x = 207,956.70 × 137,471.40
  4. Step 4: Simplify right side
    138,637.80x = 28,588,098,688.38
  5. Step 5: Solve for x
    x = 28,588,098,688.38/138,637.80
  6. Step 6: Final answer
    x = 206,207.10

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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.