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Finding the Fourth Proportional to 150,298.52, 225,451.43 and 50,461.97

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Solution

The fourth proportional to 150,298.52, 225,451.43 and 50,461.97 is: 75,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,298.52 : 225,451.43 = 50,461.97 : x
  2. Step 2: Convert to fraction form
    150,298.52/225,451.43 = 50,461.97/x
  3. Step 3: Cross multiply
    150,298.52x = 225,451.43 × 50,461.97
  4. Step 4: Simplify right side
    150,298.52x = 11,376,723,297.12
  5. Step 5: Solve for x
    x = 11,376,723,297.12/150,298.52
  6. Step 6: Final answer
    x = 75,694.18

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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.