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Finding the Fourth Proportional to 150,297.45, 225,472.14 and 50,467.28

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Solution

The fourth proportional to 150,297.45, 225,472.14 and 50,467.28 is: 75,709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,297.45 : 225,472.14 = 50,467.28 : x
  2. Step 2: Convert to fraction form
    150,297.45/225,472.14 = 50,467.28/x
  3. Step 3: Cross multiply
    150,297.45x = 225,472.14 × 50,467.28
  4. Step 4: Simplify right side
    150,297.45x = 11,378,964,494.22
  5. Step 5: Solve for x
    x = 11,378,964,494.22/150,297.45
  6. Step 6: Final answer
    x = 75,709.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.