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Finding the Fourth Proportional to 129,358.26, 194,084.64 and 54,497.16

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Solution

The fourth proportional to 129,358.26, 194,084.64 and 54,497.16 is: 81,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,358.26 : 194,084.64 = 54,497.16 : x
  2. Step 2: Convert to fraction form
    129,358.26/194,084.64 = 54,497.16/x
  3. Step 3: Cross multiply
    129,358.26x = 194,084.64 × 54,497.16
  4. Step 4: Simplify right side
    129,358.26x = 10,577,061,679.62
  5. Step 5: Solve for x
    x = 10,577,061,679.62/129,358.26
  6. Step 6: Final answer
    x = 81,765.65

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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.