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Finding the Fourth Proportional to 222,469.94, 307,009.44 and 120,496.61

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Solution

The fourth proportional to 222,469.94, 307,009.44 and 120,496.61 is: 166,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,469.94 : 307,009.44 = 120,496.61 : x
  2. Step 2: Convert to fraction form
    222,469.94/307,009.44 = 120,496.61/x
  3. Step 3: Cross multiply
    222,469.94x = 307,009.44 × 120,496.61
  4. Step 4: Simplify right side
    222,469.94x = 36,993,597,525.52
  5. Step 5: Solve for x
    x = 36,993,597,525.52/222,469.94
  6. Step 6: Final answer
    x = 166,285.82

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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.