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Finding the Fourth Proportional to 133,568.31, 200,454.03 and 49,408.08

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Solution

The fourth proportional to 133,568.31, 200,454.03 and 49,408.08 is: 74,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,568.31 : 200,454.03 = 49,408.08 : x
  2. Step 2: Convert to fraction form
    133,568.31/200,454.03 = 49,408.08/x
  3. Step 3: Cross multiply
    133,568.31x = 200,454.03 × 49,408.08
  4. Step 4: Simplify right side
    133,568.31x = 9,904,048,750.56
  5. Step 5: Solve for x
    x = 9,904,048,750.56/133,568.31
  6. Step 6: Final answer
    x = 74,149.69

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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.