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Finding the Fourth Proportional to 199,809.38, 275,737.14 and 109,166.83

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Solution

The fourth proportional to 199,809.38, 275,737.14 and 109,166.83 is: 150,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,809.38 : 275,737.14 = 109,166.83 : x
  2. Step 2: Convert to fraction form
    199,809.38/275,737.14 = 109,166.83/x
  3. Step 3: Cross multiply
    199,809.38x = 275,737.14 × 109,166.83
  4. Step 4: Simplify right side
    199,809.38x = 30,101,348,797.72
  5. Step 5: Solve for x
    x = 30,101,348,797.72/199,809.38
  6. Step 6: Final answer
    x = 150,650.33

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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.