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Finding the Fourth Proportional to 227,086.56, 340,418.04 and 77,224.44

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Solution

The fourth proportional to 227,086.56, 340,418.04 and 77,224.44 is: 115,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,086.56 : 340,418.04 = 77,224.44 : x
  2. Step 2: Convert to fraction form
    227,086.56/340,418.04 = 77,224.44/x
  3. Step 3: Cross multiply
    227,086.56x = 340,418.04 × 77,224.44
  4. Step 4: Simplify right side
    227,086.56x = 26,288,592,504.90
  5. Step 5: Solve for x
    x = 26,288,592,504.90/227,086.56
  6. Step 6: Final answer
    x = 115,764.63

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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.