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Finding the Fourth Proportional to 206,227.50, 284,550.75 and 121,353.90

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Solution

The fourth proportional to 206,227.50, 284,550.75 and 121,353.90 is: 167,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,227.50 : 284,550.75 = 121,353.90 : x
  2. Step 2: Convert to fraction form
    206,227.50/284,550.75 = 121,353.90/x
  3. Step 3: Cross multiply
    206,227.50x = 284,550.75 × 121,353.90
  4. Step 4: Simplify right side
    206,227.50x = 34,531,343,260.43
  5. Step 5: Solve for x
    x = 34,531,343,260.43/206,227.50
  6. Step 6: Final answer
    x = 167,442.96

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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.