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Finding the Fourth Proportional to 275,753.96, 413,614.46 and 98,251.56

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Solution

The fourth proportional to 275,753.96, 413,614.46 and 98,251.56 is: 147,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,753.96 : 413,614.46 = 98,251.56 : x
  2. Step 2: Convert to fraction form
    275,753.96/413,614.46 = 98,251.56/x
  3. Step 3: Cross multiply
    275,753.96x = 413,614.46 × 98,251.56
  4. Step 4: Simplify right side
    275,753.96x = 40,638,265,933.56
  5. Step 5: Solve for x
    x = 40,638,265,933.56/275,753.96
  6. Step 6: Final answer
    x = 147,371.47

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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.