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Finding the Fourth Proportional to 232,019.20, 347,251.20 and 204,025.60

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Solution

The fourth proportional to 232,019.20, 347,251.20 and 204,025.60 is: 305,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,019.20 : 347,251.20 = 204,025.60 : x
  2. Step 2: Convert to fraction form
    232,019.20/347,251.20 = 204,025.60/x
  3. Step 3: Cross multiply
    232,019.20x = 347,251.20 × 204,025.60
  4. Step 4: Simplify right side
    232,019.20x = 70,848,134,430.72
  5. Step 5: Solve for x
    x = 70,848,134,430.72/232,019.20
  6. Step 6: Final answer
    x = 305,354.62

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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.