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Finding the Fourth Proportional to 227,912.60, 342,176.70 and 133,239.80

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Solution

The fourth proportional to 227,912.60, 342,176.70 and 133,239.80 is: 200,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,912.60 : 342,176.70 = 133,239.80 : x
  2. Step 2: Convert to fraction form
    227,912.60/342,176.70 = 133,239.80/x
  3. Step 3: Cross multiply
    227,912.60x = 342,176.70 × 133,239.80
  4. Step 4: Simplify right side
    227,912.60x = 45,591,555,072.66
  5. Step 5: Solve for x
    x = 45,591,555,072.66/227,912.60
  6. Step 6: Final answer
    x = 200,039.64

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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.