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Finding the Fourth Proportional to 199,896.65, 275,857.38 and 109,252.61

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Solution

The fourth proportional to 199,896.65, 275,857.38 and 109,252.61 is: 150,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,896.65 : 275,857.38 = 109,252.61 : x
  2. Step 2: Convert to fraction form
    199,896.65/275,857.38 = 109,252.61/x
  3. Step 3: Cross multiply
    199,896.65x = 275,857.38 × 109,252.61
  4. Step 4: Simplify right side
    199,896.65x = 30,138,138,752.76
  5. Step 5: Solve for x
    x = 30,138,138,752.76/199,896.65
  6. Step 6: Final answer
    x = 150,768.60

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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.