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Finding the Fourth Proportional to 100,367.14, 150,558 and 30,251.92

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Solution

The fourth proportional to 100,367.14, 150,558 and 30,251.92 is: 45,380.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,367.14 : 150,558 = 30,251.92 : x
  2. Step 2: Convert to fraction form
    100,367.14/150,558 = 30,251.92/x
  3. Step 3: Cross multiply
    100,367.14x = 150,558 × 30,251.92
  4. Step 4: Simplify right side
    100,367.14x = 4,554,668,571.36
  5. Step 5: Solve for x
    x = 4,554,668,571.36/100,367.14
  6. Step 6: Final answer
    x = 45,380.08

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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.