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Finding the Fourth Proportional to 159,161.96, 238,745.69 and 53,983.64

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Solution

The fourth proportional to 159,161.96, 238,745.69 and 53,983.64 is: 80,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,161.96 : 238,745.69 = 53,983.64 : x
  2. Step 2: Convert to fraction form
    159,161.96/238,745.69 = 53,983.64/x
  3. Step 3: Cross multiply
    159,161.96x = 238,745.69 × 53,983.64
  4. Step 4: Simplify right side
    159,161.96x = 12,888,361,380.51
  5. Step 5: Solve for x
    x = 12,888,361,380.51/159,161.96
  6. Step 6: Final answer
    x = 80,976.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.