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Finding the Fourth Proportional to 171,151.56, 256,793.10 and 71,285.04

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Solution

The fourth proportional to 171,151.56, 256,793.10 and 71,285.04 is: 106,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,151.56 : 256,793.10 = 71,285.04 : x
  2. Step 2: Convert to fraction form
    171,151.56/256,793.10 = 71,285.04/x
  3. Step 3: Cross multiply
    171,151.56x = 256,793.10 × 71,285.04
  4. Step 4: Simplify right side
    171,151.56x = 18,305,506,405.22
  5. Step 5: Solve for x
    x = 18,305,506,405.22/171,151.56
  6. Step 6: Final answer
    x = 106,954.95

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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.