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Finding the Fourth Proportional to 269,534.80, 404,302.20 and 82,546.30

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Solution

The fourth proportional to 269,534.80, 404,302.20 and 82,546.30 is: 123,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,534.80 : 404,302.20 = 82,546.30 : x
  2. Step 2: Convert to fraction form
    269,534.80/404,302.20 = 82,546.30/x
  3. Step 3: Cross multiply
    269,534.80x = 404,302.20 × 82,546.30
  4. Step 4: Simplify right side
    269,534.80x = 33,373,650,691.86
  5. Step 5: Solve for x
    x = 33,373,650,691.86/269,534.80
  6. Step 6: Final answer
    x = 123,819.45

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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.