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Finding the Fourth Proportional to 133,702.98, 200,550.36 and 54,757.75

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Solution

The fourth proportional to 133,702.98, 200,550.36 and 54,757.75 is: 82,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,702.98 : 200,550.36 = 54,757.75 : x
  2. Step 2: Convert to fraction form
    133,702.98/200,550.36 = 54,757.75/x
  3. Step 3: Cross multiply
    133,702.98x = 200,550.36 × 54,757.75
  4. Step 4: Simplify right side
    133,702.98x = 10,981,686,475.29
  5. Step 5: Solve for x
    x = 10,981,686,475.29/133,702.98
  6. Step 6: Final answer
    x = 82,134.94

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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.