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Finding the Fourth Proportional to 150,175.84, 225,271.24 and 44,984.78

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Solution

The fourth proportional to 150,175.84, 225,271.24 and 44,984.78 is: 67,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,175.84 : 225,271.24 = 44,984.78 : x
  2. Step 2: Convert to fraction form
    150,175.84/225,271.24 = 44,984.78/x
  3. Step 3: Cross multiply
    150,175.84x = 225,271.24 × 44,984.78
  4. Step 4: Simplify right side
    150,175.84x = 10,133,777,171.73
  5. Step 5: Solve for x
    x = 10,133,777,171.73/150,175.84
  6. Step 6: Final answer
    x = 67,479.41

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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.