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Finding the Fourth Proportional to 206,397.72, 284,832.06 and 115,773.80

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Solution

The fourth proportional to 206,397.72, 284,832.06 and 115,773.80 is: 159,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,397.72 : 284,832.06 = 115,773.80 : x
  2. Step 2: Convert to fraction form
    206,397.72/284,832.06 = 115,773.80/x
  3. Step 3: Cross multiply
    206,397.72x = 284,832.06 × 115,773.80
  4. Step 4: Simplify right side
    206,397.72x = 32,976,089,948.03
  5. Step 5: Solve for x
    x = 32,976,089,948.03/206,397.72
  6. Step 6: Final answer
    x = 159,769.64

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Why These Related Problems?

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