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Finding the Fourth Proportional to 228,940.46, 343,469.09 and 71,170.28

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Solution

The fourth proportional to 228,940.46, 343,469.09 and 71,170.28 is: 106,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,940.46 : 343,469.09 = 71,170.28 : x
  2. Step 2: Convert to fraction form
    228,940.46/343,469.09 = 71,170.28/x
  3. Step 3: Cross multiply
    228,940.46x = 343,469.09 × 71,170.28
  4. Step 4: Simplify right side
    228,940.46x = 24,444,789,767.23
  5. Step 5: Solve for x
    x = 24,444,789,767.23/228,940.46
  6. Step 6: Final answer
    x = 106,773.57

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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.