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Finding the Fourth Proportional to 215,358.44, 323,103.84 and 110,251.20

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Solution

The fourth proportional to 215,358.44, 323,103.84 and 110,251.20 is: 165,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,358.44 : 323,103.84 = 110,251.20 : x
  2. Step 2: Convert to fraction form
    215,358.44/323,103.84 = 110,251.20/x
  3. Step 3: Cross multiply
    215,358.44x = 323,103.84 × 110,251.20
  4. Step 4: Simplify right side
    215,358.44x = 35,622,586,084.61
  5. Step 5: Solve for x
    x = 35,622,586,084.61/215,358.44
  6. Step 6: Final answer
    x = 165,410.68

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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.