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Finding the Fourth Proportional to 232,469.55, 348,540.30 and 106,170.30

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Solution

The fourth proportional to 232,469.55, 348,540.30 and 106,170.30 is: 159,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,469.55 : 348,540.30 = 106,170.30 : x
  2. Step 2: Convert to fraction form
    232,469.55/348,540.30 = 106,170.30/x
  3. Step 3: Cross multiply
    232,469.55x = 348,540.30 × 106,170.30
  4. Step 4: Simplify right side
    232,469.55x = 37,004,628,213.09
  5. Step 5: Solve for x
    x = 37,004,628,213.09/232,469.55
  6. Step 6: Final answer
    x = 159,180.54

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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.