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Finding the Fourth Proportional to 192,883.28, 266,169.68 and 106,836.46

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Solution

The fourth proportional to 192,883.28, 266,169.68 and 106,836.46 is: 147,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,883.28 : 266,169.68 = 106,836.46 : x
  2. Step 2: Convert to fraction form
    192,883.28/266,169.68 = 106,836.46/x
  3. Step 3: Cross multiply
    192,883.28x = 266,169.68 × 106,836.46
  4. Step 4: Simplify right side
    192,883.28x = 28,436,625,571.56
  5. Step 5: Solve for x
    x = 28,436,625,571.56/192,883.28
  6. Step 6: Final answer
    x = 147,429.19

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1.5x scale

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.