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Finding the Fourth Proportional to 215,793.60, 323,560.80 and 110,817.60

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Solution

The fourth proportional to 215,793.60, 323,560.80 and 110,817.60 is: 166,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,793.60 : 323,560.80 = 110,817.60 : x
  2. Step 2: Convert to fraction form
    215,793.60/323,560.80 = 110,817.60/x
  3. Step 3: Cross multiply
    215,793.60x = 323,560.80 × 110,817.60
  4. Step 4: Simplify right side
    215,793.60x = 35,856,231,310.08
  5. Step 5: Solve for x
    x = 35,856,231,310.08/215,793.60
  6. Step 6: Final answer
    x = 166,159.85

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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.