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Finding the Fourth Proportional to 150,754.26, 208,044.25 and 82,772.38

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Solution

The fourth proportional to 150,754.26, 208,044.25 and 82,772.38 is: 114,227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,754.26 : 208,044.25 = 82,772.38 : x
  2. Step 2: Convert to fraction form
    150,754.26/208,044.25 = 82,772.38/x
  3. Step 3: Cross multiply
    150,754.26x = 208,044.25 × 82,772.38
  4. Step 4: Simplify right side
    150,754.26x = 17,220,317,770.94
  5. Step 5: Solve for x
    x = 17,220,317,770.94/150,754.26
  6. Step 6: Final answer
    x = 114,227.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.