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Finding the Fourth Proportional to 171,734.57, 257,760.41 and 123,753

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Solution

The fourth proportional to 171,734.57, 257,760.41 and 123,753 is: 185,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,734.57 : 257,760.41 = 123,753 : x
  2. Step 2: Convert to fraction form
    171,734.57/257,760.41 = 123,753/x
  3. Step 3: Cross multiply
    171,734.57x = 257,760.41 × 123,753
  4. Step 4: Simplify right side
    171,734.57x = 31,898,623,399.97
  5. Step 5: Solve for x
    x = 31,898,623,399.97/171,734.57
  6. Step 6: Final answer
    x = 185,743.76

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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.