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Finding the Fourth Proportional to 165,314.52, 247,831.65 and 65,545.20

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Solution

The fourth proportional to 165,314.52, 247,831.65 and 65,545.20 is: 98,262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,314.52 : 247,831.65 = 65,545.20 : x
  2. Step 2: Convert to fraction form
    165,314.52/247,831.65 = 65,545.20/x
  3. Step 3: Cross multiply
    165,314.52x = 247,831.65 × 65,545.20
  4. Step 4: Simplify right side
    165,314.52x = 16,244,175,065.58
  5. Step 5: Solve for x
    x = 16,244,175,065.58/165,314.52
  6. Step 6: Final answer
    x = 98,262.24

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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.