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Finding the Fourth Proportional to 192,797.76, 289,169.28 and 74,524.80

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Solution

The fourth proportional to 192,797.76, 289,169.28 and 74,524.80 is: 111,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,797.76 : 289,169.28 = 74,524.80 : x
  2. Step 2: Convert to fraction form
    192,797.76/289,169.28 = 74,524.80/x
  3. Step 3: Cross multiply
    192,797.76x = 289,169.28 × 74,524.80
  4. Step 4: Simplify right side
    192,797.76x = 21,550,282,758.14
  5. Step 5: Solve for x
    x = 21,550,282,758.14/192,797.76
  6. Step 6: Final answer
    x = 111,776.62

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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.