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Finding the Fourth Proportional to 148,006.12, 204,245.40 and 80,938.12

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Solution

The fourth proportional to 148,006.12, 204,245.40 and 80,938.12 is: 111,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,006.12 : 204,245.40 = 80,938.12 : x
  2. Step 2: Convert to fraction form
    148,006.12/204,245.40 = 80,938.12/x
  3. Step 3: Cross multiply
    148,006.12x = 204,245.40 × 80,938.12
  4. Step 4: Simplify right side
    148,006.12x = 16,531,238,694.65
  5. Step 5: Solve for x
    x = 16,531,238,694.65/148,006.12
  6. Step 6: Final answer
    x = 111,692.94

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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.