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Finding the Fourth Proportional to 129,214.34, 193,822.32 and 40,461.02

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Solution

The fourth proportional to 129,214.34, 193,822.32 and 40,461.02 is: 60,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,214.34 : 193,822.32 = 40,461.02 : x
  2. Step 2: Convert to fraction form
    129,214.34/193,822.32 = 40,461.02/x
  3. Step 3: Cross multiply
    129,214.34x = 193,822.32 × 40,461.02
  4. Step 4: Simplify right side
    129,214.34x = 7,842,248,765.97
  5. Step 5: Solve for x
    x = 7,842,248,765.97/129,214.34
  6. Step 6: Final answer
    x = 60,691.78

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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.