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Finding the Fourth Proportional to 306,793.92, 460,154.16 and 82,171.20

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Solution

The fourth proportional to 306,793.92, 460,154.16 and 82,171.20 is: 123,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,793.92 : 460,154.16 = 82,171.20 : x
  2. Step 2: Convert to fraction form
    306,793.92/460,154.16 = 82,171.20/x
  3. Step 3: Cross multiply
    306,793.92x = 460,154.16 × 82,171.20
  4. Step 4: Simplify right side
    306,793.92x = 37,811,419,512.19
  5. Step 5: Solve for x
    x = 37,811,419,512.19/306,793.92
  6. Step 6: Final answer
    x = 123,246.96

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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.