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Finding the Fourth Proportional to 135,456.14, 186,930.84 and 81,730.78

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Solution

The fourth proportional to 135,456.14, 186,930.84 and 81,730.78 is: 112,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,456.14 : 186,930.84 = 81,730.78 : x
  2. Step 2: Convert to fraction form
    135,456.14/186,930.84 = 81,730.78/x
  3. Step 3: Cross multiply
    135,456.14x = 186,930.84 × 81,730.78
  4. Step 4: Simplify right side
    135,456.14x = 15,278,003,359.26
  5. Step 5: Solve for x
    x = 15,278,003,359.26/135,456.14
  6. Step 6: Final answer
    x = 112,789.30

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