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Finding the Fourth Proportional to 205,732.43, 307,231.60 and 203,505.79

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Solution

The fourth proportional to 205,732.43, 307,231.60 and 203,505.79 is: 303,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,732.43 : 307,231.60 = 203,505.79 : x
  2. Step 2: Convert to fraction form
    205,732.43/307,231.60 = 203,505.79/x
  3. Step 3: Cross multiply
    205,732.43x = 307,231.60 × 203,505.79
  4. Step 4: Simplify right side
    205,732.43x = 62,523,409,470.96
  5. Step 5: Solve for x
    x = 62,523,409,470.96/205,732.43
  6. Step 6: Final answer
    x = 303,906.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.