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Finding the Fourth Proportional to 394,172.68, 591,105.64 and 127,868.80

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Solution

The fourth proportional to 394,172.68, 591,105.64 and 127,868.80 is: 191,753.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,172.68 : 591,105.64 = 127,868.80 : x
  2. Step 2: Convert to fraction form
    394,172.68/591,105.64 = 127,868.80/x
  3. Step 3: Cross multiply
    394,172.68x = 591,105.64 × 127,868.80
  4. Step 4: Simplify right side
    394,172.68x = 75,583,968,860.03
  5. Step 5: Solve for x
    x = 75,583,968,860.03/394,172.68
  6. Step 6: Final answer
    x = 191,753.44

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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.