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Finding the Fourth Proportional to 225,053.70, 337,598.37 and 75,294.78

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Solution

The fourth proportional to 225,053.70, 337,598.37 and 75,294.78 is: 112,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,053.70 : 337,598.37 = 75,294.78 : x
  2. Step 2: Convert to fraction form
    225,053.70/337,598.37 = 75,294.78/x
  3. Step 3: Cross multiply
    225,053.70x = 337,598.37 × 75,294.78
  4. Step 4: Simplify right side
    225,053.70x = 25,419,394,997.51
  5. Step 5: Solve for x
    x = 25,419,394,997.51/225,053.70
  6. Step 6: Final answer
    x = 112,948.13

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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.