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Finding the Fourth Proportional to 171,033.29, 256,217.73 and 82,349.02

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Solution

The fourth proportional to 171,033.29, 256,217.73 and 82,349.02 is: 123,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,033.29 : 256,217.73 = 82,349.02 : x
  2. Step 2: Convert to fraction form
    171,033.29/256,217.73 = 82,349.02/x
  3. Step 3: Cross multiply
    171,033.29x = 256,217.73 × 82,349.02
  4. Step 4: Simplify right side
    171,033.29x = 21,099,278,972.12
  5. Step 5: Solve for x
    x = 21,099,278,972.12/171,033.29
  6. Step 6: Final answer
    x = 123,363.58

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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.