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Finding the Fourth Proportional to 165,294.48, 247,843.17 and 65,469

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Solution

The fourth proportional to 165,294.48, 247,843.17 and 65,469 is: 98,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,294.48 : 247,843.17 = 65,469 : x
  2. Step 2: Convert to fraction form
    165,294.48/247,843.17 = 65,469/x
  3. Step 3: Cross multiply
    165,294.48x = 247,843.17 × 65,469
  4. Step 4: Simplify right side
    165,294.48x = 16,226,044,496.73
  5. Step 5: Solve for x
    x = 16,226,044,496.73/165,294.48
  6. Step 6: Final answer
    x = 98,164.47

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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.