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Finding the Fourth Proportional to 193,136.54, 289,692.11 and 66,747.38

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Solution

The fourth proportional to 193,136.54, 289,692.11 and 66,747.38 is: 100,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,136.54 : 289,692.11 = 66,747.38 : x
  2. Step 2: Convert to fraction form
    193,136.54/289,692.11 = 66,747.38/x
  3. Step 3: Cross multiply
    193,136.54x = 289,692.11 × 66,747.38
  4. Step 4: Simplify right side
    193,136.54x = 19,336,188,067.58
  5. Step 5: Solve for x
    x = 19,336,188,067.58/193,136.54
  6. Step 6: Final answer
    x = 100,116.68

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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.