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Finding the Fourth Proportional to 133,784.38, 200,687.49 and 67,190.26

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Solution

The fourth proportional to 133,784.38, 200,687.49 and 67,190.26 is: 100,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,784.38 : 200,687.49 = 67,190.26 : x
  2. Step 2: Convert to fraction form
    133,784.38/200,687.49 = 67,190.26/x
  3. Step 3: Cross multiply
    133,784.38x = 200,687.49 × 67,190.26
  4. Step 4: Simplify right side
    133,784.38x = 13,484,244,631.85
  5. Step 5: Solve for x
    x = 13,484,244,631.85/133,784.38
  6. Step 6: Final answer
    x = 100,790.87

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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.