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Finding the Fourth Proportional to 143,244, 197,729.64 and 123,019.44

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Solution

The fourth proportional to 143,244, 197,729.64 and 123,019.44 is: 169,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,244 : 197,729.64 = 123,019.44 : x
  2. Step 2: Convert to fraction form
    143,244/197,729.64 = 123,019.44/x
  3. Step 3: Cross multiply
    143,244x = 197,729.64 × 123,019.44
  4. Step 4: Simplify right side
    143,244x = 24,324,589,584.20
  5. Step 5: Solve for x
    x = 24,324,589,584.20/143,244
  6. Step 6: Final answer
    x = 169,812.28

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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.