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Finding the Fourth Proportional to 200,532.87, 300,799.71 and 82,182.96

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Solution

The fourth proportional to 200,532.87, 300,799.71 and 82,182.96 is: 123,274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,532.87 : 300,799.71 = 82,182.96 : x
  2. Step 2: Convert to fraction form
    200,532.87/300,799.71 = 82,182.96/x
  3. Step 3: Cross multiply
    200,532.87x = 300,799.71 × 82,182.96
  4. Step 4: Simplify right side
    200,532.87x = 24,720,610,534.94
  5. Step 5: Solve for x
    x = 24,720,610,534.94/200,532.87
  6. Step 6: Final answer
    x = 123,274.61

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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.