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Finding the Fourth Proportional to 138,652.80, 207,979.20 and 45,158.55

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Solution

The fourth proportional to 138,652.80, 207,979.20 and 45,158.55 is: 67,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,652.80 : 207,979.20 = 45,158.55 : x
  2. Step 2: Convert to fraction form
    138,652.80/207,979.20 = 45,158.55/x
  3. Step 3: Cross multiply
    138,652.80x = 207,979.20 × 45,158.55
  4. Step 4: Simplify right side
    138,652.80x = 9,392,039,102.16
  5. Step 5: Solve for x
    x = 9,392,039,102.16/138,652.80
  6. Step 6: Final answer
    x = 67,737.83

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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.