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Finding the Fourth Proportional to 135,137.20, 202,414.20 and 111,809.20

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Solution

The fourth proportional to 135,137.20, 202,414.20 and 111,809.20 is: 167,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,137.20 : 202,414.20 = 111,809.20 : x
  2. Step 2: Convert to fraction form
    135,137.20/202,414.20 = 111,809.20/x
  3. Step 3: Cross multiply
    135,137.20x = 202,414.20 × 111,809.20
  4. Step 4: Simplify right side
    135,137.20x = 22,631,769,770.64
  5. Step 5: Solve for x
    x = 22,631,769,770.64/135,137.20
  6. Step 6: Final answer
    x = 167,472.54

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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.