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Finding the Fourth Proportional to 198,098.82, 273,374.74 and 107,454.54

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Solution

The fourth proportional to 198,098.82, 273,374.74 and 107,454.54 is: 148,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,098.82 : 273,374.74 = 107,454.54 : x
  2. Step 2: Convert to fraction form
    198,098.82/273,374.74 = 107,454.54/x
  3. Step 3: Cross multiply
    198,098.82x = 273,374.74 × 107,454.54
  4. Step 4: Simplify right side
    198,098.82x = 29,375,356,934.32
  5. Step 5: Solve for x
    x = 29,375,356,934.32/198,098.82
  6. Step 6: Final answer
    x = 148,286.38

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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.