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Finding the Fourth Proportional to 197,189.84, 272,121.96 and 107,765.84

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Solution

The fourth proportional to 197,189.84, 272,121.96 and 107,765.84 is: 148,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,189.84 : 272,121.96 = 107,765.84 : x
  2. Step 2: Convert to fraction form
    197,189.84/272,121.96 = 107,765.84/x
  3. Step 3: Cross multiply
    197,189.84x = 272,121.96 × 107,765.84
  4. Step 4: Simplify right side
    197,189.84x = 29,325,451,601.85
  5. Step 5: Solve for x
    x = 29,325,451,601.85/197,189.84
  6. Step 6: Final answer
    x = 148,716.85

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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.