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Finding the Fourth Proportional to 198,415.67, 273,815.62 and 107,773.40

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Solution

The fourth proportional to 198,415.67, 273,815.62 and 107,773.40 is: 148,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,415.67 : 273,815.62 = 107,773.40 : x
  2. Step 2: Convert to fraction form
    198,415.67/273,815.62 = 107,773.40/x
  3. Step 3: Cross multiply
    198,415.67x = 273,815.62 × 107,773.40
  4. Step 4: Simplify right side
    198,415.67x = 29,510,040,755.61
  5. Step 5: Solve for x
    x = 29,510,040,755.61/198,415.67
  6. Step 6: Final answer
    x = 148,728.38

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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.