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Finding the Fourth Proportional to 269,239.80, 403,856.10 and 82,252.20

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Solution

The fourth proportional to 269,239.80, 403,856.10 and 82,252.20 is: 123,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,239.80 : 403,856.10 = 82,252.20 : x
  2. Step 2: Convert to fraction form
    269,239.80/403,856.10 = 82,252.20/x
  3. Step 3: Cross multiply
    269,239.80x = 403,856.10 × 82,252.20
  4. Step 4: Simplify right side
    269,239.80x = 33,218,052,708.42
  5. Step 5: Solve for x
    x = 33,218,052,708.42/269,239.80
  6. Step 6: Final answer
    x = 123,377.20

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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.