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Finding the Fourth Proportional to 171,025.40, 256,538.10 and 82,233.20

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Solution

The fourth proportional to 171,025.40, 256,538.10 and 82,233.20 is: 123,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,025.40 : 256,538.10 = 82,233.20 : x
  2. Step 2: Convert to fraction form
    171,025.40/256,538.10 = 82,233.20/x
  3. Step 3: Cross multiply
    171,025.40x = 256,538.10 × 82,233.20
  4. Step 4: Simplify right side
    171,025.40x = 21,095,948,884.92
  5. Step 5: Solve for x
    x = 21,095,948,884.92/171,025.40
  6. Step 6: Final answer
    x = 123,349.80

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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.