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Finding the Fourth Proportional to 232,022.70, 347,256.45 and 204,029.10

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Solution

The fourth proportional to 232,022.70, 347,256.45 and 204,029.10 is: 305,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,022.70 : 347,256.45 = 204,029.10 : x
  2. Step 2: Convert to fraction form
    232,022.70/347,256.45 = 204,029.10/x
  3. Step 3: Cross multiply
    232,022.70x = 347,256.45 × 204,029.10
  4. Step 4: Simplify right side
    232,022.70x = 70,850,420,962.70
  5. Step 5: Solve for x
    x = 70,850,420,962.70/232,022.70
  6. Step 6: Final answer
    x = 305,359.87

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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.