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Finding the Fourth Proportional to 159,198.44, 238,742.21 and 52,559.60

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Solution

The fourth proportional to 159,198.44, 238,742.21 and 52,559.60 is: 78,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,198.44 : 238,742.21 = 52,559.60 : x
  2. Step 2: Convert to fraction form
    159,198.44/238,742.21 = 52,559.60/x
  3. Step 3: Cross multiply
    159,198.44x = 238,742.21 × 52,559.60
  4. Step 4: Simplify right side
    159,198.44x = 12,548,193,998.40
  5. Step 5: Solve for x
    x = 12,548,193,998.40/159,198.44
  6. Step 6: Final answer
    x = 78,821.09

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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.