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Finding the Fourth Proportional to 194,692.78, 268,797.66 and 149,283.47

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Solution

The fourth proportional to 194,692.78, 268,797.66 and 149,283.47 is: 206,104.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,692.78 : 268,797.66 = 149,283.47 : x
  2. Step 2: Convert to fraction form
    194,692.78/268,797.66 = 149,283.47/x
  3. Step 3: Cross multiply
    194,692.78x = 268,797.66 × 149,283.47
  4. Step 4: Simplify right side
    194,692.78x = 40,127,047,524.86
  5. Step 5: Solve for x
    x = 40,127,047,524.86/194,692.78
  6. Step 6: Final answer
    x = 206,104.44

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Why These Related Problems?

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