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Finding the Fourth Proportional to 89,198.75, 123,075 and 51,451.13

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Solution

The fourth proportional to 89,198.75, 123,075 and 51,451.13 is: 70,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,198.75 : 123,075 = 51,451.13 : x
  2. Step 2: Convert to fraction form
    89,198.75/123,075 = 51,451.13/x
  3. Step 3: Cross multiply
    89,198.75x = 123,075 × 51,451.13
  4. Step 4: Simplify right side
    89,198.75x = 6,332,347,209.38
  5. Step 5: Solve for x
    x = 6,332,347,209.38/89,198.75
  6. Step 6: Final answer
    x = 70,991.44

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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.