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Finding the Fourth Proportional to 171,016.47, 256,192.56 and 82,332.27

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Solution

The fourth proportional to 171,016.47, 256,192.56 and 82,332.27 is: 123,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,016.47 : 256,192.56 = 82,332.27 : x
  2. Step 2: Convert to fraction form
    171,016.47/256,192.56 = 82,332.27/x
  3. Step 3: Cross multiply
    171,016.47x = 256,192.56 × 82,332.27
  4. Step 4: Simplify right side
    171,016.47x = 21,092,915,021.91
  5. Step 5: Solve for x
    x = 21,092,915,021.91/171,016.47
  6. Step 6: Final answer
    x = 123,338.50

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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.