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Finding the Fourth Proportional to 144,694.93, 199,781.37 and 93,732.97

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Solution

The fourth proportional to 144,694.93, 199,781.37 and 93,732.97 is: 129,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,694.93 : 199,781.37 = 93,732.97 : x
  2. Step 2: Convert to fraction form
    144,694.93/199,781.37 = 93,732.97/x
  3. Step 3: Cross multiply
    144,694.93x = 199,781.37 × 93,732.97
  4. Step 4: Simplify right side
    144,694.93x = 18,726,101,160.77
  5. Step 5: Solve for x
    x = 18,726,101,160.77/144,694.93
  6. Step 6: Final answer
    x = 129,417.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.