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Finding the Fourth Proportional to 199,879.56, 275,704.92 and 119,244.96

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Solution

The fourth proportional to 199,879.56, 275,704.92 and 119,244.96 is: 164,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,879.56 : 275,704.92 = 119,244.96 : x
  2. Step 2: Convert to fraction form
    199,879.56/275,704.92 = 119,244.96/x
  3. Step 3: Cross multiply
    199,879.56x = 275,704.92 × 119,244.96
  4. Step 4: Simplify right side
    199,879.56x = 32,876,422,157.20
  5. Step 5: Solve for x
    x = 32,876,422,157.20/199,879.56
  6. Step 6: Final answer
    x = 164,481.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.