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Finding the Fourth Proportional to 232,994.31, 348,930.92 and 132,850.90

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Solution

The fourth proportional to 232,994.31, 348,930.92 and 132,850.90 is: 198,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,994.31 : 348,930.92 = 132,850.90 : x
  2. Step 2: Convert to fraction form
    232,994.31/348,930.92 = 132,850.90/x
  3. Step 3: Cross multiply
    232,994.31x = 348,930.92 × 132,850.90
  4. Step 4: Simplify right side
    232,994.31x = 46,355,786,759.83
  5. Step 5: Solve for x
    x = 46,355,786,759.83/232,994.31
  6. Step 6: Final answer
    x = 198,956.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.