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Finding the Fourth Proportional to 83,204, 124,806 and 27,800

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Solution

The fourth proportional to 83,204, 124,806 and 27,800 is: 41,700

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,204 : 124,806 = 27,800 : x
  2. Step 2: Convert to fraction form
    83,204/124,806 = 27,800/x
  3. Step 3: Cross multiply
    83,204x = 124,806 × 27,800
  4. Step 4: Simplify right side
    83,204x = 3,469,606,800
  5. Step 5: Solve for x
    x = 3,469,606,800/83,204
  6. Step 6: Final answer
    x = 41,700

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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.