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Finding the Fourth Proportional to 133,718.43, 200,577.88 and 33,878.54

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Solution

The fourth proportional to 133,718.43, 200,577.88 and 33,878.54 is: 50,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,718.43 : 200,577.88 = 33,878.54 : x
  2. Step 2: Convert to fraction form
    133,718.43/200,577.88 = 33,878.54/x
  3. Step 3: Cross multiply
    133,718.43x = 200,577.88 × 33,878.54
  4. Step 4: Simplify right side
    133,718.43x = 6,795,286,147.44
  5. Step 5: Solve for x
    x = 6,795,286,147.44/133,718.43
  6. Step 6: Final answer
    x = 50,817.87

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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.