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Finding the Fourth Proportional to 206,002.72, 284,183.40 and 129,616.48

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Solution

The fourth proportional to 206,002.72, 284,183.40 and 129,616.48 is: 178,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,002.72 : 284,183.40 = 129,616.48 : x
  2. Step 2: Convert to fraction form
    206,002.72/284,183.40 = 129,616.48/x
  3. Step 3: Cross multiply
    206,002.72x = 284,183.40 × 129,616.48
  4. Step 4: Simplify right side
    206,002.72x = 36,834,851,982.43
  5. Step 5: Solve for x
    x = 36,834,851,982.43/206,002.72
  6. Step 6: Final answer
    x = 178,807.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.