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Finding the Fourth Proportional to 327,367.67, 491,072.28 and 102,736.97

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Solution

The fourth proportional to 327,367.67, 491,072.28 and 102,736.97 is: 154,111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,367.67 : 491,072.28 = 102,736.97 : x
  2. Step 2: Convert to fraction form
    327,367.67/491,072.28 = 102,736.97/x
  3. Step 3: Cross multiply
    327,367.67x = 491,072.28 × 102,736.97
  4. Step 4: Simplify right side
    327,367.67x = 50,451,278,098.19
  5. Step 5: Solve for x
    x = 50,451,278,098.19/327,367.67
  6. Step 6: Final answer
    x = 154,111.97

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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.