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Finding the Fourth Proportional to 196,136.46, 270,339.39 and 150,180.30

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Solution

The fourth proportional to 196,136.46, 270,339.39 and 150,180.30 is: 206,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,136.46 : 270,339.39 = 150,180.30 : x
  2. Step 2: Convert to fraction form
    196,136.46/270,339.39 = 150,180.30/x
  3. Step 3: Cross multiply
    196,136.46x = 270,339.39 × 150,180.30
  4. Step 4: Simplify right side
    196,136.46x = 40,599,650,692.02
  5. Step 5: Solve for x
    x = 40,599,650,692.02/196,136.46
  6. Step 6: Final answer
    x = 206,996.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.