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Finding the Fourth Proportional to 259,508.96, 389,076.59 and 159,462.44

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Solution

The fourth proportional to 259,508.96, 389,076.59 and 159,462.44 is: 239,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,508.96 : 389,076.59 = 159,462.44 : x
  2. Step 2: Convert to fraction form
    259,508.96/389,076.59 = 159,462.44/x
  3. Step 3: Cross multiply
    259,508.96x = 389,076.59 × 159,462.44
  4. Step 4: Simplify right side
    259,508.96x = 62,043,104,489.15
  5. Step 5: Solve for x
    x = 62,043,104,489.15/259,508.96
  6. Step 6: Final answer
    x = 239,078.85

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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.