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Finding the Fourth Proportional to 159,408.31, 238,964.77 and 70,614.49

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Solution

The fourth proportional to 159,408.31, 238,964.77 and 70,614.49 is: 105,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,408.31 : 238,964.77 = 70,614.49 : x
  2. Step 2: Convert to fraction form
    159,408.31/238,964.77 = 70,614.49/x
  3. Step 3: Cross multiply
    159,408.31x = 238,964.77 × 70,614.49
  4. Step 4: Simplify right side
    159,408.31x = 16,874,375,361.52
  5. Step 5: Solve for x
    x = 16,874,375,361.52/159,408.31
  6. Step 6: Final answer
    x = 105,856.31

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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.