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Finding the Fourth Proportional to 232,003.20, 347,313.60 and 138,460.80

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Solution

The fourth proportional to 232,003.20, 347,313.60 and 138,460.80 is: 207,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,003.20 : 347,313.60 = 138,460.80 : x
  2. Step 2: Convert to fraction form
    232,003.20/347,313.60 = 138,460.80/x
  3. Step 3: Cross multiply
    232,003.20x = 347,313.60 × 138,460.80
  4. Step 4: Simplify right side
    232,003.20x = 48,089,318,906.88
  5. Step 5: Solve for x
    x = 48,089,318,906.88/232,003.20
  6. Step 6: Final answer
    x = 207,278.69

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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.