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Finding the Fourth Proportional to 277,768.26, 416,672.01 and 137,489.22

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Solution

The fourth proportional to 277,768.26, 416,672.01 and 137,489.22 is: 206,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,768.26 : 416,672.01 = 137,489.22 : x
  2. Step 2: Convert to fraction form
    277,768.26/416,672.01 = 137,489.22/x
  3. Step 3: Cross multiply
    277,768.26x = 416,672.01 × 137,489.22
  4. Step 4: Simplify right side
    277,768.26x = 57,287,909,650.73
  5. Step 5: Solve for x
    x = 57,287,909,650.73/277,768.26
  6. Step 6: Final answer
    x = 206,243.54

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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.