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Finding the Fourth Proportional to 269,462.80, 404,251.80 and 82,493.20

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Solution

The fourth proportional to 269,462.80, 404,251.80 and 82,493.20 is: 123,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,462.80 : 404,251.80 = 82,493.20 : x
  2. Step 2: Convert to fraction form
    269,462.80/404,251.80 = 82,493.20/x
  3. Step 3: Cross multiply
    269,462.80x = 404,251.80 × 82,493.20
  4. Step 4: Simplify right side
    269,462.80x = 33,348,024,587.76
  5. Step 5: Solve for x
    x = 33,348,024,587.76/269,462.80
  6. Step 6: Final answer
    x = 123,757.43

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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.