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Finding the Fourth Proportional to 159,410.44, 239,147.19 and 45,559.27

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Solution

The fourth proportional to 159,410.44, 239,147.19 and 45,559.27 is: 68,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,410.44 : 239,147.19 = 45,559.27 : x
  2. Step 2: Convert to fraction form
    159,410.44/239,147.19 = 45,559.27/x
  3. Step 3: Cross multiply
    159,410.44x = 239,147.19 × 45,559.27
  4. Step 4: Simplify right side
    159,410.44x = 10,895,371,398.95
  5. Step 5: Solve for x
    x = 10,895,371,398.95/159,410.44
  6. Step 6: Final answer
    x = 68,347.92

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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.