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Finding the Fourth Proportional to 138,437.60, 207,656.40 and 137,562.80

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Solution

The fourth proportional to 138,437.60, 207,656.40 and 137,562.80 is: 206,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,437.60 : 207,656.40 = 137,562.80 : x
  2. Step 2: Convert to fraction form
    138,437.60/207,656.40 = 137,562.80/x
  3. Step 3: Cross multiply
    138,437.60x = 207,656.40 × 137,562.80
  4. Step 4: Simplify right side
    138,437.60x = 28,565,795,821.92
  5. Step 5: Solve for x
    x = 28,565,795,821.92/138,437.60
  6. Step 6: Final answer
    x = 206,344.20

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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.