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Finding the Fourth Proportional to 408,672.44, 613,057.86 and 135,127.94

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Solution

The fourth proportional to 408,672.44, 613,057.86 and 135,127.94 is: 202,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,672.44 : 613,057.86 = 135,127.94 : x
  2. Step 2: Convert to fraction form
    408,672.44/613,057.86 = 135,127.94/x
  3. Step 3: Cross multiply
    408,672.44x = 613,057.86 × 135,127.94
  4. Step 4: Simplify right side
    408,672.44x = 82,841,245,722.61
  5. Step 5: Solve for x
    x = 82,841,245,722.61/408,672.44
  6. Step 6: Final answer
    x = 202,708.18

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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.