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Finding the Fourth Proportional to 129,158.20, 193,714.62 and 35,643.16

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Solution

The fourth proportional to 129,158.20, 193,714.62 and 35,643.16 is: 53,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,158.20 : 193,714.62 = 35,643.16 : x
  2. Step 2: Convert to fraction form
    129,158.20/193,714.62 = 35,643.16/x
  3. Step 3: Cross multiply
    129,158.20x = 193,714.62 × 35,643.16
  4. Step 4: Simplify right side
    129,158.20x = 6,904,601,195.00
  5. Step 5: Solve for x
    x = 6,904,601,195.00/129,158.20
  6. Step 6: Final answer
    x = 53,458.48

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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.