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Finding the Fourth Proportional to 138,446.60, 207,767.10 and 59,617.40

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Solution

The fourth proportional to 138,446.60, 207,767.10 and 59,617.40 is: 89,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,446.60 : 207,767.10 = 59,617.40 : x
  2. Step 2: Convert to fraction form
    138,446.60/207,767.10 = 59,617.40/x
  3. Step 3: Cross multiply
    138,446.60x = 207,767.10 × 59,617.40
  4. Step 4: Simplify right side
    138,446.60x = 12,386,534,307.54
  5. Step 5: Solve for x
    x = 12,386,534,307.54/138,446.60
  6. Step 6: Final answer
    x = 89,467.96

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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.