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Finding the Fourth Proportional to 232,902.78, 349,105.02 and 120,469.80

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Solution

The fourth proportional to 232,902.78, 349,105.02 and 120,469.80 is: 180,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,902.78 : 349,105.02 = 120,469.80 : x
  2. Step 2: Convert to fraction form
    232,902.78/349,105.02 = 120,469.80/x
  3. Step 3: Cross multiply
    232,902.78x = 349,105.02 × 120,469.80
  4. Step 4: Simplify right side
    232,902.78x = 42,056,611,938.40
  5. Step 5: Solve for x
    x = 42,056,611,938.40/232,902.78
  6. Step 6: Final answer
    x = 180,575.83

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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.