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Finding the Fourth Proportional to 232,793.75, 349,013.56 and 120,402.30

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Solution

The fourth proportional to 232,793.75, 349,013.56 and 120,402.30 is: 180,511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,793.75 : 349,013.56 = 120,402.30 : x
  2. Step 2: Convert to fraction form
    232,793.75/349,013.56 = 120,402.30/x
  3. Step 3: Cross multiply
    232,793.75x = 349,013.56 × 120,402.30
  4. Step 4: Simplify right side
    232,793.75x = 42,022,034,625.54
  5. Step 5: Solve for x
    x = 42,022,034,625.54/232,793.75
  6. Step 6: Final answer
    x = 180,511.87

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1.5x scale

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.