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Finding the Fourth Proportional to 222,163.31, 306,584.10 and 120,188.49

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Solution

The fourth proportional to 222,163.31, 306,584.10 and 120,188.49 is: 165,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,163.31 : 306,584.10 = 120,188.49 : x
  2. Step 2: Convert to fraction form
    222,163.31/306,584.10 = 120,188.49/x
  3. Step 3: Cross multiply
    222,163.31x = 306,584.10 × 120,188.49
  4. Step 4: Simplify right side
    222,163.31x = 36,847,880,037.01
  5. Step 5: Solve for x
    x = 36,847,880,037.01/222,163.31
  6. Step 6: Final answer
    x = 165,859.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.