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Finding the Fourth Proportional to 300,107.70, 414,204.03 and 192,811.86

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Solution

The fourth proportional to 300,107.70, 414,204.03 and 192,811.86 is: 266,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,107.70 : 414,204.03 = 192,811.86 : x
  2. Step 2: Convert to fraction form
    300,107.70/414,204.03 = 192,811.86/x
  3. Step 3: Cross multiply
    300,107.70x = 414,204.03 × 192,811.86
  4. Step 4: Simplify right side
    300,107.70x = 79,863,449,443.80
  5. Step 5: Solve for x
    x = 79,863,449,443.80/300,107.70
  6. Step 6: Final answer
    x = 266,115.96

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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.