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Finding the Fourth Proportional to 159,635.20, 239,419.20 and 80,675.20

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Solution

The fourth proportional to 159,635.20, 239,419.20 and 80,675.20 is: 120,995.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,635.20 : 239,419.20 = 80,675.20 : x
  2. Step 2: Convert to fraction form
    159,635.20/239,419.20 = 80,675.20/x
  3. Step 3: Cross multiply
    159,635.20x = 239,419.20 × 80,675.20
  4. Step 4: Simplify right side
    159,635.20x = 19,315,191,843.84
  5. Step 5: Solve for x
    x = 19,315,191,843.84/159,635.20
  6. Step 6: Final answer
    x = 120,995.82

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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.