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Finding the Fourth Proportional to 170,823.28, 256,281.90 and 82,150.96

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Solution

The fourth proportional to 170,823.28, 256,281.90 and 82,150.96 is: 123,249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,823.28 : 256,281.90 = 82,150.96 : x
  2. Step 2: Convert to fraction form
    170,823.28/256,281.90 = 82,150.96/x
  3. Step 3: Cross multiply
    170,823.28x = 256,281.90 × 82,150.96
  4. Step 4: Simplify right side
    170,823.28x = 21,053,804,115.62
  5. Step 5: Solve for x
    x = 21,053,804,115.62/170,823.28
  6. Step 6: Final answer
    x = 123,249.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.