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Finding the Fourth Proportional to 232,892.82, 321,340.77 and 148,134.42

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Solution

The fourth proportional to 232,892.82, 321,340.77 and 148,134.42 is: 204,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,892.82 : 321,340.77 = 148,134.42 : x
  2. Step 2: Convert to fraction form
    232,892.82/321,340.77 = 148,134.42/x
  3. Step 3: Cross multiply
    232,892.82x = 321,340.77 × 148,134.42
  4. Step 4: Simplify right side
    232,892.82x = 47,601,628,586.30
  5. Step 5: Solve for x
    x = 47,601,628,586.30/232,892.82
  6. Step 6: Final answer
    x = 204,392.86

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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.