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Finding the Fourth Proportional to 267,469.80, 401,229.49 and 96,734.20

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Solution

The fourth proportional to 267,469.80, 401,229.49 and 96,734.20 is: 145,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,469.80 : 401,229.49 = 96,734.20 : x
  2. Step 2: Convert to fraction form
    267,469.80/401,229.49 = 96,734.20/x
  3. Step 3: Cross multiply
    267,469.80x = 401,229.49 × 96,734.20
  4. Step 4: Simplify right side
    267,469.80x = 38,812,614,976.47
  5. Step 5: Solve for x
    x = 38,812,614,976.47/267,469.80
  6. Step 6: Final answer
    x = 145,110.27

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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.