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Finding the Fourth Proportional to 171,035.20, 256,552.80 and 82,461.70

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Solution

The fourth proportional to 171,035.20, 256,552.80 and 82,461.70 is: 123,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,035.20 : 256,552.80 = 82,461.70 : x
  2. Step 2: Convert to fraction form
    171,035.20/256,552.80 = 82,461.70/x
  3. Step 3: Cross multiply
    171,035.20x = 256,552.80 × 82,461.70
  4. Step 4: Simplify right side
    171,035.20x = 21,155,780,027.76
  5. Step 5: Solve for x
    x = 21,155,780,027.76/171,035.20
  6. Step 6: Final answer
    x = 123,692.55

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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.