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Finding the Fourth Proportional to 144,481.48, 199,399.46 and 83,229.78

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Solution

The fourth proportional to 144,481.48, 199,399.46 and 83,229.78 is: 114,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,481.48 : 199,399.46 = 83,229.78 : x
  2. Step 2: Convert to fraction form
    144,481.48/199,399.46 = 83,229.78/x
  3. Step 3: Cross multiply
    144,481.48x = 199,399.46 × 83,229.78
  4. Step 4: Simplify right side
    144,481.48x = 16,595,973,187.92
  5. Step 5: Solve for x
    x = 16,595,973,187.92/144,481.48
  6. Step 6: Final answer
    x = 114,865.75

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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.