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Finding the Fourth Proportional to 240,013.31, 359,917.36 and 82,257.71

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Solution

The fourth proportional to 240,013.31, 359,917.36 and 82,257.71 is: 123,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,013.31 : 359,917.36 = 82,257.71 : x
  2. Step 2: Convert to fraction form
    240,013.31/359,917.36 = 82,257.71/x
  3. Step 3: Cross multiply
    240,013.31x = 359,917.36 × 82,257.71
  4. Step 4: Simplify right side
    240,013.31x = 29,605,975,817.61
  5. Step 5: Solve for x
    x = 29,605,975,817.61/240,013.31
  6. Step 6: Final answer
    x = 123,351.39

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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.