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Finding the Fourth Proportional to 200,716.74, 300,812.67 and 82,249.38

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Solution

The fourth proportional to 200,716.74, 300,812.67 and 82,249.38 is: 123,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,716.74 : 300,812.67 = 82,249.38 : x
  2. Step 2: Convert to fraction form
    200,716.74/300,812.67 = 82,249.38/x
  3. Step 3: Cross multiply
    200,716.74x = 300,812.67 × 82,249.38
  4. Step 4: Simplify right side
    200,716.74x = 24,741,655,603.64
  5. Step 5: Solve for x
    x = 24,741,655,603.64/200,716.74
  6. Step 6: Final answer
    x = 123,266.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.