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Finding the Fourth Proportional to 133,797.30, 200,525.85 and 54,822.30

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Solution

The fourth proportional to 133,797.30, 200,525.85 and 54,822.30 is: 82,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,797.30 : 200,525.85 = 54,822.30 : x
  2. Step 2: Convert to fraction form
    133,797.30/200,525.85 = 54,822.30/x
  3. Step 3: Cross multiply
    133,797.30x = 200,525.85 × 54,822.30
  4. Step 4: Simplify right side
    133,797.30x = 10,993,288,306.46
  5. Step 5: Solve for x
    x = 10,993,288,306.46/133,797.30
  6. Step 6: Final answer
    x = 82,163.75

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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.