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Finding the Fourth Proportional to 171,131.92, 256,588.50 and 82,208.50

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Solution

The fourth proportional to 171,131.92, 256,588.50 and 82,208.50 is: 123,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,131.92 : 256,588.50 = 82,208.50 : x
  2. Step 2: Convert to fraction form
    171,131.92/256,588.50 = 82,208.50/x
  3. Step 3: Cross multiply
    171,131.92x = 256,588.50 × 82,208.50
  4. Step 4: Simplify right side
    171,131.92x = 21,093,755,702.25
  5. Step 5: Solve for x
    x = 21,093,755,702.25/171,131.92
  6. Step 6: Final answer
    x = 123,260.21

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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.