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Finding the Fourth Proportional to 129,378.30, 194,067.45 and 76,760.70

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Solution

The fourth proportional to 129,378.30, 194,067.45 and 76,760.70 is: 115,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,378.30 : 194,067.45 = 76,760.70 : x
  2. Step 2: Convert to fraction form
    129,378.30/194,067.45 = 76,760.70/x
  3. Step 3: Cross multiply
    129,378.30x = 194,067.45 × 76,760.70
  4. Step 4: Simplify right side
    129,378.30x = 14,896,753,309.22
  5. Step 5: Solve for x
    x = 14,896,753,309.22/129,378.30
  6. Step 6: Final answer
    x = 115,141.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.