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Finding the Fourth Proportional to 123,721.38, 170,630.19 and 83,382.17

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Solution

The fourth proportional to 123,721.38, 170,630.19 and 83,382.17 is: 114,996.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,721.38 : 170,630.19 = 83,382.17 : x
  2. Step 2: Convert to fraction form
    123,721.38/170,630.19 = 83,382.17/x
  3. Step 3: Cross multiply
    123,721.38x = 170,630.19 × 83,382.17
  4. Step 4: Simplify right side
    123,721.38x = 14,227,514,656.56
  5. Step 5: Solve for x
    x = 14,227,514,656.56/123,721.38
  6. Step 6: Final answer
    x = 114,996.41

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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.