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Finding the Fourth Proportional to 165,265.80, 247,871.97 and 65,397.66

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Solution

The fourth proportional to 165,265.80, 247,871.97 and 65,397.66 is: 98,085.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,265.80 : 247,871.97 = 65,397.66 : x
  2. Step 2: Convert to fraction form
    165,265.80/247,871.97 = 65,397.66/x
  3. Step 3: Cross multiply
    165,265.80x = 247,871.97 × 65,397.66
  4. Step 4: Simplify right side
    165,265.80x = 16,210,246,817.59
  5. Step 5: Solve for x
    x = 16,210,246,817.59/165,265.80
  6. Step 6: Final answer
    x = 98,085.91

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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.