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Finding the Fourth Proportional to 129,097.40, 193,714.90 and 50,214.20

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Solution

The fourth proportional to 129,097.40, 193,714.90 and 50,214.20 is: 75,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,097.40 : 193,714.90 = 50,214.20 : x
  2. Step 2: Convert to fraction form
    129,097.40/193,714.90 = 50,214.20/x
  3. Step 3: Cross multiply
    129,097.40x = 193,714.90 × 50,214.20
  4. Step 4: Simplify right side
    129,097.40x = 9,727,238,731.58
  5. Step 5: Solve for x
    x = 9,727,238,731.58/129,097.40
  6. Step 6: Final answer
    x = 75,348.06

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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.