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Finding the Fourth Proportional to 275,198.54, 412,753.50 and 75,472.56

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Solution

The fourth proportional to 275,198.54, 412,753.50 and 75,472.56 is: 113,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,198.54 : 412,753.50 = 75,472.56 : x
  2. Step 2: Convert to fraction form
    275,198.54/412,753.50 = 75,472.56/x
  3. Step 3: Cross multiply
    275,198.54x = 412,753.50 × 75,472.56
  4. Step 4: Simplify right side
    275,198.54x = 31,151,563,293.96
  5. Step 5: Solve for x
    x = 31,151,563,293.96/275,198.54
  6. Step 6: Final answer
    x = 113,196.69

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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.