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Finding the Fourth Proportional to 148,033.54, 204,285.27 and 80,965.54

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Solution

The fourth proportional to 148,033.54, 204,285.27 and 80,965.54 is: 111,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,033.54 : 204,285.27 = 80,965.54 : x
  2. Step 2: Convert to fraction form
    148,033.54/204,285.27 = 80,965.54/x
  3. Step 3: Cross multiply
    148,033.54x = 204,285.27 × 80,965.54
  4. Step 4: Simplify right side
    148,033.54x = 16,540,067,199.60
  5. Step 5: Solve for x
    x = 16,540,067,199.60/148,033.54
  6. Step 6: Final answer
    x = 111,731.89

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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.