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Finding the Fourth Proportional to 256,234.20, 384,351.30 and 161,755.80

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Solution

The fourth proportional to 256,234.20, 384,351.30 and 161,755.80 is: 242,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,234.20 : 384,351.30 = 161,755.80 : x
  2. Step 2: Convert to fraction form
    256,234.20/384,351.30 = 161,755.80/x
  3. Step 3: Cross multiply
    256,234.20x = 384,351.30 × 161,755.80
  4. Step 4: Simplify right side
    256,234.20x = 62,171,052,012.54
  5. Step 5: Solve for x
    x = 62,171,052,012.54/256,234.20
  6. Step 6: Final answer
    x = 242,633.70

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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.