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Finding the Fourth Proportional to 232,735.56, 321,065.20 and 199,105.30

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Solution

The fourth proportional to 232,735.56, 321,065.20 and 199,105.30 is: 274,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,735.56 : 321,065.20 = 199,105.30 : x
  2. Step 2: Convert to fraction form
    232,735.56/321,065.20 = 199,105.30/x
  3. Step 3: Cross multiply
    232,735.56x = 321,065.20 × 199,105.30
  4. Step 4: Simplify right side
    232,735.56x = 63,925,782,965.56
  5. Step 5: Solve for x
    x = 63,925,782,965.56/232,735.56
  6. Step 6: Final answer
    x = 274,671.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.