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Finding the Fourth Proportional to 198,494.54, 273,919.14 and 107,851.89

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Solution

The fourth proportional to 198,494.54, 273,919.14 and 107,851.89 is: 148,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,494.54 : 273,919.14 = 107,851.89 : x
  2. Step 2: Convert to fraction form
    198,494.54/273,919.14 = 107,851.89/x
  3. Step 3: Cross multiply
    198,494.54x = 273,919.14 × 107,851.89
  4. Step 4: Simplify right side
    198,494.54x = 29,542,696,956.17
  5. Step 5: Solve for x
    x = 29,542,696,956.17/198,494.54
  6. Step 6: Final answer
    x = 148,833.81

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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.