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Finding the Fourth Proportional to 129,292.64, 178,380.96 and 105,378.24

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Solution

The fourth proportional to 129,292.64, 178,380.96 and 105,378.24 is: 145,387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,292.64 : 178,380.96 = 105,378.24 : x
  2. Step 2: Convert to fraction form
    129,292.64/178,380.96 = 105,378.24/x
  3. Step 3: Cross multiply
    129,292.64x = 178,380.96 × 105,378.24
  4. Step 4: Simplify right side
    129,292.64x = 18,797,471,614.31
  5. Step 5: Solve for x
    x = 18,797,471,614.31/129,292.64
  6. Step 6: Final answer
    x = 145,387.02

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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.