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Finding the Fourth Proportional to 275,930.20, 380,785.17 and 161,215.57

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Solution

The fourth proportional to 275,930.20, 380,785.17 and 161,215.57 is: 222,478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,930.20 : 380,785.17 = 161,215.57 : x
  2. Step 2: Convert to fraction form
    275,930.20/380,785.17 = 161,215.57/x
  3. Step 3: Cross multiply
    275,930.20x = 380,785.17 × 161,215.57
  4. Step 4: Simplify right side
    275,930.20x = 61,388,498,229.10
  5. Step 5: Solve for x
    x = 61,388,498,229.10/275,930.20
  6. Step 6: Final answer
    x = 222,478.36

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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.