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Finding the Fourth Proportional to 225,198, 337,797 and 84,923.82

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Solution

The fourth proportional to 225,198, 337,797 and 84,923.82 is: 127,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,198 : 337,797 = 84,923.82 : x
  2. Step 2: Convert to fraction form
    225,198/337,797 = 84,923.82/x
  3. Step 3: Cross multiply
    225,198x = 337,797 × 84,923.82
  4. Step 4: Simplify right side
    225,198x = 28,687,011,624.54
  5. Step 5: Solve for x
    x = 28,687,011,624.54/225,198
  6. Step 6: Final answer
    x = 127,385.73

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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.