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Finding the Fourth Proportional to 133,408.32, 200,013.12 and 80,805.12

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Solution

The fourth proportional to 133,408.32, 200,013.12 and 80,805.12 is: 121,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,408.32 : 200,013.12 = 80,805.12 : x
  2. Step 2: Convert to fraction form
    133,408.32/200,013.12 = 80,805.12/x
  3. Step 3: Cross multiply
    133,408.32x = 200,013.12 × 80,805.12
  4. Step 4: Simplify right side
    133,408.32x = 16,162,084,163.17
  5. Step 5: Solve for x
    x = 16,162,084,163.17/133,408.32
  6. Step 6: Final answer
    x = 121,147.50

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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.