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Finding the Fourth Proportional to 171,310.27, 256,817.64 and 82,441.52

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Solution

The fourth proportional to 171,310.27, 256,817.64 and 82,441.52 is: 123,591.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,310.27 : 256,817.64 = 82,441.52 : x
  2. Step 2: Convert to fraction form
    171,310.27/256,817.64 = 82,441.52/x
  3. Step 3: Cross multiply
    171,310.27x = 256,817.64 × 82,441.52
  4. Step 4: Simplify right side
    171,310.27x = 21,172,436,604.41
  5. Step 5: Solve for x
    x = 21,172,436,604.41/171,310.27
  6. Step 6: Final answer
    x = 123,591.17

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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.