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Finding the Fourth Proportional to 267,924.50, 401,766.33 and 192,729.50

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Solution

The fourth proportional to 267,924.50, 401,766.33 and 192,729.50 is: 289,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,924.50 : 401,766.33 = 192,729.50 : x
  2. Step 2: Convert to fraction form
    267,924.50/401,766.33 = 192,729.50/x
  3. Step 3: Cross multiply
    267,924.50x = 401,766.33 × 192,729.50
  4. Step 4: Simplify right side
    267,924.50x = 77,432,223,897.74
  5. Step 5: Solve for x
    x = 77,432,223,897.74/267,924.50
  6. Step 6: Final answer
    x = 289,007.63

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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.