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Finding the Fourth Proportional to 133,825.36, 200,770.44 and 67,099.72

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Solution

The fourth proportional to 133,825.36, 200,770.44 and 67,099.72 is: 100,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,825.36 : 200,770.44 = 67,099.72 : x
  2. Step 2: Convert to fraction form
    133,825.36/200,770.44 = 67,099.72/x
  3. Step 3: Cross multiply
    133,825.36x = 200,770.44 × 67,099.72
  4. Step 4: Simplify right side
    133,825.36x = 13,471,640,308.28
  5. Step 5: Solve for x
    x = 13,471,640,308.28/133,825.36
  6. Step 6: Final answer
    x = 100,665.83

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1.5x scale

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.