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Finding the Fourth Proportional to 148,044.80, 204,300.16 and 80,976

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Solution

The fourth proportional to 148,044.80, 204,300.16 and 80,976 is: 111,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,044.80 : 204,300.16 = 80,976 : x
  2. Step 2: Convert to fraction form
    148,044.80/204,300.16 = 80,976/x
  3. Step 3: Cross multiply
    148,044.80x = 204,300.16 × 80,976
  4. Step 4: Simplify right side
    148,044.80x = 16,543,409,756.16
  5. Step 5: Solve for x
    x = 16,543,409,756.16/148,044.80
  6. Step 6: Final answer
    x = 111,745.97

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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.