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Finding the Fourth Proportional to 132,127.92, 182,277 and 78,415.20

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Solution

The fourth proportional to 132,127.92, 182,277 and 78,415.20 is: 108,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,127.92 : 182,277 = 78,415.20 : x
  2. Step 2: Convert to fraction form
    132,127.92/182,277 = 78,415.20/x
  3. Step 3: Cross multiply
    132,127.92x = 182,277 × 78,415.20
  4. Step 4: Simplify right side
    132,127.92x = 14,293,287,410.40
  5. Step 5: Solve for x
    x = 14,293,287,410.40/132,127.92
  6. Step 6: Final answer
    x = 108,177.65

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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.