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Finding the Fourth Proportional to 171,042.40, 256,563.60 and 82,250.20

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Solution

The fourth proportional to 171,042.40, 256,563.60 and 82,250.20 is: 123,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,042.40 : 256,563.60 = 82,250.20 : x
  2. Step 2: Convert to fraction form
    171,042.40/256,563.60 = 82,250.20/x
  3. Step 3: Cross multiply
    171,042.40x = 256,563.60 × 82,250.20
  4. Step 4: Simplify right side
    171,042.40x = 21,102,407,412.72
  5. Step 5: Solve for x
    x = 21,102,407,412.72/171,042.40
  6. Step 6: Final answer
    x = 123,375.30

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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.