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Finding the Fourth Proportional to 111,234.48, 166,797.24 and 55,009.44

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Solution

The fourth proportional to 111,234.48, 166,797.24 and 55,009.44 is: 82,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,234.48 : 166,797.24 = 55,009.44 : x
  2. Step 2: Convert to fraction form
    111,234.48/166,797.24 = 55,009.44/x
  3. Step 3: Cross multiply
    111,234.48x = 166,797.24 × 55,009.44
  4. Step 4: Simplify right side
    111,234.48x = 9,175,422,765.95
  5. Step 5: Solve for x
    x = 9,175,422,765.95/111,234.48
  6. Step 6: Final answer
    x = 82,487.22

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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.