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Finding the Fourth Proportional to 199,879.36, 275,882.50 and 113,889.04

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Solution

The fourth proportional to 199,879.36, 275,882.50 and 113,889.04 is: 157,194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,879.36 : 275,882.50 = 113,889.04 : x
  2. Step 2: Convert to fraction form
    199,879.36/275,882.50 = 113,889.04/x
  3. Step 3: Cross multiply
    199,879.36x = 275,882.50 × 113,889.04
  4. Step 4: Simplify right side
    199,879.36x = 31,419,993,077.80
  5. Step 5: Solve for x
    x = 31,419,993,077.80/199,879.36
  6. Step 6: Final answer
    x = 157,194.79

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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.