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Finding the Fourth Proportional to 198,418.38, 273,820.32 and 107,776.11

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Solution

The fourth proportional to 198,418.38, 273,820.32 and 107,776.11 is: 148,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,418.38 : 273,820.32 = 107,776.11 : x
  2. Step 2: Convert to fraction form
    198,418.38/273,820.32 = 107,776.11/x
  3. Step 3: Cross multiply
    198,418.38x = 273,820.32 × 107,776.11
  4. Step 4: Simplify right side
    198,418.38x = 29,511,288,928.56
  5. Step 5: Solve for x
    x = 29,511,288,928.56/198,418.38
  6. Step 6: Final answer
    x = 148,732.64

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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.