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Finding the Fourth Proportional to 200,496.87, 300,745.71 and 82,146.96

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Solution

The fourth proportional to 200,496.87, 300,745.71 and 82,146.96 is: 123,220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,496.87 : 300,745.71 = 82,146.96 : x
  2. Step 2: Convert to fraction form
    200,496.87/300,745.71 = 82,146.96/x
  3. Step 3: Cross multiply
    200,496.87x = 300,745.71 × 82,146.96
  4. Step 4: Simplify right side
    200,496.87x = 24,705,345,809.54
  5. Step 5: Solve for x
    x = 24,705,345,809.54/200,496.87
  6. Step 6: Final answer
    x = 123,220.61

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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.