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Finding the Fourth Proportional to 225,204, 337,806 and 84,929.82

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Solution

The fourth proportional to 225,204, 337,806 and 84,929.82 is: 127,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,204 : 337,806 = 84,929.82 : x
  2. Step 2: Convert to fraction form
    225,204/337,806 = 84,929.82/x
  3. Step 3: Cross multiply
    225,204x = 337,806 × 84,929.82
  4. Step 4: Simplify right side
    225,204x = 28,689,802,774.92
  5. Step 5: Solve for x
    x = 28,689,802,774.92/225,204
  6. Step 6: Final answer
    x = 127,394.73

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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.