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Finding the Fourth Proportional to 133,687.08, 200,530.89 and 54,787.14

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Solution

The fourth proportional to 133,687.08, 200,530.89 and 54,787.14 is: 82,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,687.08 : 200,530.89 = 54,787.14 : x
  2. Step 2: Convert to fraction form
    133,687.08/200,530.89 = 54,787.14/x
  3. Step 3: Cross multiply
    133,687.08x = 200,530.89 × 54,787.14
  4. Step 4: Simplify right side
    133,687.08x = 10,986,513,944.75
  5. Step 5: Solve for x
    x = 10,986,513,944.75/133,687.08
  6. Step 6: Final answer
    x = 82,180.82

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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.