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Finding the Fourth Proportional to 230,257.44, 345,004.32 and 140,027.20

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Solution

The fourth proportional to 230,257.44, 345,004.32 and 140,027.20 is: 209,808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,257.44 : 345,004.32 = 140,027.20 : x
  2. Step 2: Convert to fraction form
    230,257.44/345,004.32 = 140,027.20/x
  3. Step 3: Cross multiply
    230,257.44x = 345,004.32 × 140,027.20
  4. Step 4: Simplify right side
    230,257.44x = 48,309,988,917.50
  5. Step 5: Solve for x
    x = 48,309,988,917.50/230,257.44
  6. Step 6: Final answer
    x = 209,808.59

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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.