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Finding the Fourth Proportional to 133,692.37, 200,534.46 and 54,747.14

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Solution

The fourth proportional to 133,692.37, 200,534.46 and 54,747.14 is: 82,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,692.37 : 200,534.46 = 54,747.14 : x
  2. Step 2: Convert to fraction form
    133,692.37/200,534.46 = 54,747.14/x
  3. Step 3: Cross multiply
    133,692.37x = 200,534.46 × 54,747.14
  4. Step 4: Simplify right side
    133,692.37x = 10,978,688,230.45
  5. Step 5: Solve for x
    x = 10,978,688,230.45/133,692.37
  6. Step 6: Final answer
    x = 82,119.03

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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.