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Finding the Fourth Proportional to 198,414.01, 273,813.34 and 107,771.74

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Solution

The fourth proportional to 198,414.01, 273,813.34 and 107,771.74 is: 148,726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,414.01 : 273,813.34 = 107,771.74 : x
  2. Step 2: Convert to fraction form
    198,414.01/273,813.34 = 107,771.74/x
  3. Step 3: Cross multiply
    198,414.01x = 273,813.34 × 107,771.74
  4. Step 4: Simplify right side
    198,414.01x = 29,509,340,087.01
  5. Step 5: Solve for x
    x = 29,509,340,087.01/198,414.01
  6. Step 6: Final answer
    x = 148,726.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.