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Finding the Fourth Proportional to 96,143.48, 144,252.14 and 67,707.71

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Solution

The fourth proportional to 96,143.48, 144,252.14 and 67,707.71 is: 101,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,143.48 : 144,252.14 = 67,707.71 : x
  2. Step 2: Convert to fraction form
    96,143.48/144,252.14 = 67,707.71/x
  3. Step 3: Cross multiply
    96,143.48x = 144,252.14 × 67,707.71
  4. Step 4: Simplify right side
    96,143.48x = 9,766,981,002.20
  5. Step 5: Solve for x
    x = 9,766,981,002.20/96,143.48
  6. Step 6: Final answer
    x = 101,587.56

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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.