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Finding the Fourth Proportional to 171,265.72, 256,789.14 and 82,342.24

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Solution

The fourth proportional to 171,265.72, 256,789.14 and 82,342.24 is: 123,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,265.72 : 256,789.14 = 82,342.24 : x
  2. Step 2: Convert to fraction form
    171,265.72/256,789.14 = 82,342.24/x
  3. Step 3: Cross multiply
    171,265.72x = 256,789.14 × 82,342.24
  4. Step 4: Simplify right side
    171,265.72x = 21,144,592,995.27
  5. Step 5: Solve for x
    x = 21,144,592,995.27/171,265.72
  6. Step 6: Final answer
    x = 123,460.74

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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.