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Finding the Fourth Proportional to 171,190.92, 256,647.26 and 71,425.44

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Solution

The fourth proportional to 171,190.92, 256,647.26 and 71,425.44 is: 107,080.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,190.92 : 256,647.26 = 71,425.44 : x
  2. Step 2: Convert to fraction form
    171,190.92/256,647.26 = 71,425.44/x
  3. Step 3: Cross multiply
    171,190.92x = 256,647.26 × 71,425.44
  4. Step 4: Simplify right side
    171,190.92x = 18,331,143,470.29
  5. Step 5: Solve for x
    x = 18,331,143,470.29/171,190.92
  6. Step 6: Final answer
    x = 107,080.12

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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.