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Finding the Fourth Proportional to 138,200.32, 207,318.72 and 48,244.66

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Solution

The fourth proportional to 138,200.32, 207,318.72 and 48,244.66 is: 72,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,200.32 : 207,318.72 = 48,244.66 : x
  2. Step 2: Convert to fraction form
    138,200.32/207,318.72 = 48,244.66/x
  3. Step 3: Cross multiply
    138,200.32x = 207,318.72 × 48,244.66
  4. Step 4: Simplify right side
    138,200.32x = 10,002,021,158.04
  5. Step 5: Solve for x
    x = 10,002,021,158.04/138,200.32
  6. Step 6: Final answer
    x = 72,373.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.