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Finding the Fourth Proportional to 120,844, 181,304.52 and 50,704.48

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Solution

The fourth proportional to 120,844, 181,304.52 and 50,704.48 is: 76,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,844 : 181,304.52 = 50,704.48 : x
  2. Step 2: Convert to fraction form
    120,844/181,304.52 = 50,704.48/x
  3. Step 3: Cross multiply
    120,844x = 181,304.52 × 50,704.48
  4. Step 4: Simplify right side
    120,844x = 9,192,951,408.25
  5. Step 5: Solve for x
    x = 9,192,951,408.25/120,844
  6. Step 6: Final answer
    x = 76,072.88

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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.