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Finding the Fourth Proportional to 171,406.50, 257,276.04 and 82,722.48

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Solution

The fourth proportional to 171,406.50, 257,276.04 and 82,722.48 is: 124,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,406.50 : 257,276.04 = 82,722.48 : x
  2. Step 2: Convert to fraction form
    171,406.50/257,276.04 = 82,722.48/x
  3. Step 3: Cross multiply
    171,406.50x = 257,276.04 × 82,722.48
  4. Step 4: Simplify right side
    171,406.50x = 21,282,512,073.38
  5. Step 5: Solve for x
    x = 21,282,512,073.38/171,406.50
  6. Step 6: Final answer
    x = 124,163.97

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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.