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Finding the Fourth Proportional to 150,002.40, 225,007.20 and 44,824.80

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Solution

The fourth proportional to 150,002.40, 225,007.20 and 44,824.80 is: 67,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,002.40 : 225,007.20 = 44,824.80 : x
  2. Step 2: Convert to fraction form
    150,002.40/225,007.20 = 44,824.80/x
  3. Step 3: Cross multiply
    150,002.40x = 225,007.20 × 44,824.80
  4. Step 4: Simplify right side
    150,002.40x = 10,085,902,738.56
  5. Step 5: Solve for x
    x = 10,085,902,738.56/150,002.40
  6. Step 6: Final answer
    x = 67,238.28

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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.