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Finding the Fourth Proportional to 234,364.80, 323,443.32 and 132,408.96

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Solution

The fourth proportional to 234,364.80, 323,443.32 and 132,408.96 is: 182,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,364.80 : 323,443.32 = 132,408.96 : x
  2. Step 2: Convert to fraction form
    234,364.80/323,443.32 = 132,408.96/x
  3. Step 3: Cross multiply
    234,364.80x = 323,443.32 × 132,408.96
  4. Step 4: Simplify right side
    234,364.80x = 42,826,793,620.15
  5. Step 5: Solve for x
    x = 42,826,793,620.15/234,364.80
  6. Step 6: Final answer
    x = 182,735.61

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Why These Related Problems?

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