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Finding the Fourth Proportional to 165,164.31, 247,658.97 and 65,320.47

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Solution

The fourth proportional to 165,164.31, 247,658.97 and 65,320.47 is: 97,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,164.31 : 247,658.97 = 65,320.47 : x
  2. Step 2: Convert to fraction form
    165,164.31/247,658.97 = 65,320.47/x
  3. Step 3: Cross multiply
    165,164.31x = 247,658.97 × 65,320.47
  4. Step 4: Simplify right side
    165,164.31x = 16,177,200,320.12
  5. Step 5: Solve for x
    x = 16,177,200,320.12/165,164.31
  6. Step 6: Final answer
    x = 97,946.10

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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.