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Finding the Fourth Proportional to 171,147.66, 256,612.14 and 82,224.24

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Solution

The fourth proportional to 171,147.66, 256,612.14 and 82,224.24 is: 123,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,147.66 : 256,612.14 = 82,224.24 : x
  2. Step 2: Convert to fraction form
    171,147.66/256,612.14 = 82,224.24/x
  3. Step 3: Cross multiply
    171,147.66x = 256,612.14 × 82,224.24
  4. Step 4: Simplify right side
    171,147.66x = 21,099,738,186.27
  5. Step 5: Solve for x
    x = 21,099,738,186.27/171,147.66
  6. Step 6: Final answer
    x = 123,283.83

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1.5x scale

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.