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Finding the Fourth Proportional to 214,562.40, 321,843.90 and 74,321.04

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Solution

The fourth proportional to 214,562.40, 321,843.90 and 74,321.04 is: 111,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,562.40 : 321,843.90 = 74,321.04 : x
  2. Step 2: Convert to fraction form
    214,562.40/321,843.90 = 74,321.04/x
  3. Step 3: Cross multiply
    214,562.40x = 321,843.90 × 74,321.04
  4. Step 4: Simplify right side
    214,562.40x = 23,919,773,365.66
  5. Step 5: Solve for x
    x = 23,919,773,365.66/214,562.40
  6. Step 6: Final answer
    x = 111,481.66

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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.