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Finding the Fourth Proportional to 129,414.16, 194,122.32 and 40,665.70

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Solution

The fourth proportional to 129,414.16, 194,122.32 and 40,665.70 is: 60,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,414.16 : 194,122.32 = 40,665.70 : x
  2. Step 2: Convert to fraction form
    129,414.16/194,122.32 = 40,665.70/x
  3. Step 3: Cross multiply
    129,414.16x = 194,122.32 × 40,665.70
  4. Step 4: Simplify right side
    129,414.16x = 7,894,120,028.42
  5. Step 5: Solve for x
    x = 7,894,120,028.42/129,414.16
  6. Step 6: Final answer
    x = 60,998.89

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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.