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Finding the Fourth Proportional to 86,198.78, 129,307.17 and 23,869.28

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Solution

The fourth proportional to 86,198.78, 129,307.17 and 23,869.28 is: 35,806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,198.78 : 129,307.17 = 23,869.28 : x
  2. Step 2: Convert to fraction form
    86,198.78/129,307.17 = 23,869.28/x
  3. Step 3: Cross multiply
    86,198.78x = 129,307.17 × 23,869.28
  4. Step 4: Simplify right side
    86,198.78x = 3,086,469,046.74
  5. Step 5: Solve for x
    x = 3,086,469,046.74/86,198.78
  6. Step 6: Final answer
    x = 35,806.41

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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.