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Finding the Fourth Proportional to 408,098.66, 612,149.40 and 141,861.38

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Solution

The fourth proportional to 408,098.66, 612,149.40 and 141,861.38 is: 212,792.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,098.66 : 612,149.40 = 141,861.38 : x
  2. Step 2: Convert to fraction form
    408,098.66/612,149.40 = 141,861.38/x
  3. Step 3: Cross multiply
    408,098.66x = 612,149.40 × 141,861.38
  4. Step 4: Simplify right side
    408,098.66x = 86,840,355,589.43
  5. Step 5: Solve for x
    x = 86,840,355,589.43/408,098.66
  6. Step 6: Final answer
    x = 212,792.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.