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Finding the Fourth Proportional to 138,942.52, 191,738.16 and 78,511.86

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Solution

The fourth proportional to 138,942.52, 191,738.16 and 78,511.86 is: 108,344.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,942.52 : 191,738.16 = 78,511.86 : x
  2. Step 2: Convert to fraction form
    138,942.52/191,738.16 = 78,511.86/x
  3. Step 3: Cross multiply
    138,942.52x = 191,738.16 × 78,511.86
  4. Step 4: Simplify right side
    138,942.52x = 15,053,719,574.58
  5. Step 5: Solve for x
    x = 15,053,719,574.58/138,942.52
  6. Step 6: Final answer
    x = 108,344.95

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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.