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Finding the Fourth Proportional to 150,461.82, 225,704.61 and 50,621.22

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Solution

The fourth proportional to 150,461.82, 225,704.61 and 50,621.22 is: 75,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,461.82 : 225,704.61 = 50,621.22 : x
  2. Step 2: Convert to fraction form
    150,461.82/225,704.61 = 50,621.22/x
  3. Step 3: Cross multiply
    150,461.82x = 225,704.61 × 50,621.22
  4. Step 4: Simplify right side
    150,461.82x = 11,425,442,717.82
  5. Step 5: Solve for x
    x = 11,425,442,717.82/150,461.82
  6. Step 6: Final answer
    x = 75,935.83

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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.