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Finding the Fourth Proportional to 84,202.05, 116,195.92 and 50,193

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Solution

The fourth proportional to 84,202.05, 116,195.92 and 50,193 is: 69,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,202.05 : 116,195.92 = 50,193 : x
  2. Step 2: Convert to fraction form
    84,202.05/116,195.92 = 50,193/x
  3. Step 3: Cross multiply
    84,202.05x = 116,195.92 × 50,193
  4. Step 4: Simplify right side
    84,202.05x = 5,832,221,687.08
  5. Step 5: Solve for x
    x = 5,832,221,687.08/84,202.05
  6. Step 6: Final answer
    x = 69,264.61

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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.