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Finding the Fourth Proportional to 150,596.91, 225,896.15 and 50,757.98

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Solution

The fourth proportional to 150,596.91, 225,896.15 and 50,757.98 is: 76,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,596.91 : 225,896.15 = 50,757.98 : x
  2. Step 2: Convert to fraction form
    150,596.91/225,896.15 = 50,757.98/x
  3. Step 3: Cross multiply
    150,596.91x = 225,896.15 × 50,757.98
  4. Step 4: Simplify right side
    150,596.91x = 11,466,031,261.19
  5. Step 5: Solve for x
    x = 11,466,031,261.19/150,596.91
  6. Step 6: Final answer
    x = 76,137.23

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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.