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Finding the Fourth Proportional to 148,698.36, 205,198.20 and 80,713.88

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Solution

The fourth proportional to 148,698.36, 205,198.20 and 80,713.88 is: 111,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,698.36 : 205,198.20 = 80,713.88 : x
  2. Step 2: Convert to fraction form
    148,698.36/205,198.20 = 80,713.88/x
  3. Step 3: Cross multiply
    148,698.36x = 205,198.20 × 80,713.88
  4. Step 4: Simplify right side
    148,698.36x = 16,562,342,891.02
  5. Step 5: Solve for x
    x = 16,562,342,891.02/148,698.36
  6. Step 6: Final answer
    x = 111,382.15

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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.