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Finding the Fourth Proportional to 275,301.91, 412,948.01 and 75,621.52

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Solution

The fourth proportional to 275,301.91, 412,948.01 and 75,621.52 is: 113,430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,301.91 : 412,948.01 = 75,621.52 : x
  2. Step 2: Convert to fraction form
    275,301.91/412,948.01 = 75,621.52/x
  3. Step 3: Cross multiply
    275,301.91x = 412,948.01 × 75,621.52
  4. Step 4: Simplify right side
    275,301.91x = 31,227,755,819.07
  5. Step 5: Solve for x
    x = 31,227,755,819.07/275,301.91
  6. Step 6: Final answer
    x = 113,430.95

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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.