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Finding the Fourth Proportional to 171,052.17, 256,329.14 and 82,201.87

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Solution

The fourth proportional to 171,052.17, 256,329.14 and 82,201.87 is: 123,183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,052.17 : 256,329.14 = 82,201.87 : x
  2. Step 2: Convert to fraction form
    171,052.17/256,329.14 = 82,201.87/x
  3. Step 3: Cross multiply
    171,052.17x = 256,329.14 × 82,201.87
  4. Step 4: Simplify right side
    171,052.17x = 21,070,735,015.28
  5. Step 5: Solve for x
    x = 21,070,735,015.28/171,052.17
  6. Step 6: Final answer
    x = 123,183.09

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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.