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Finding the Fourth Proportional to 138,403.80, 207,605.70 and 137,237.40

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Solution

The fourth proportional to 138,403.80, 207,605.70 and 137,237.40 is: 205,856.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,403.80 : 207,605.70 = 137,237.40 : x
  2. Step 2: Convert to fraction form
    138,403.80/207,605.70 = 137,237.40/x
  3. Step 3: Cross multiply
    138,403.80x = 207,605.70 × 137,237.40
  4. Step 4: Simplify right side
    138,403.80x = 28,491,266,493.18
  5. Step 5: Solve for x
    x = 28,491,266,493.18/138,403.80
  6. Step 6: Final answer
    x = 205,856.10

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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.