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Finding the Fourth Proportional to 129,112.26, 178,179.24 and 71,754

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Solution

The fourth proportional to 129,112.26, 178,179.24 and 71,754 is: 99,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,112.26 : 178,179.24 = 71,754 : x
  2. Step 2: Convert to fraction form
    129,112.26/178,179.24 = 71,754/x
  3. Step 3: Cross multiply
    129,112.26x = 178,179.24 × 71,754
  4. Step 4: Simplify right side
    129,112.26x = 12,785,073,186.96
  5. Step 5: Solve for x
    x = 12,785,073,186.96/129,112.26
  6. Step 6: Final answer
    x = 99,022.92

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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.