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Finding the Fourth Proportional to 171,022.68, 256,395.72 and 71,257.96

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Solution

The fourth proportional to 171,022.68, 256,395.72 and 71,257.96 is: 106,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,022.68 : 256,395.72 = 71,257.96 : x
  2. Step 2: Convert to fraction form
    171,022.68/256,395.72 = 71,257.96/x
  3. Step 3: Cross multiply
    171,022.68x = 256,395.72 × 71,257.96
  4. Step 4: Simplify right side
    171,022.68x = 18,270,235,959.93
  5. Step 5: Solve for x
    x = 18,270,235,959.93/171,022.68
  6. Step 6: Final answer
    x = 106,829.32

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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.