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Finding the Fourth Proportional to 159,856.73, 239,757.83 and 53,228.58

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Solution

The fourth proportional to 159,856.73, 239,757.83 and 53,228.58 is: 79,833.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,856.73 : 239,757.83 = 53,228.58 : x
  2. Step 2: Convert to fraction form
    159,856.73/239,757.83 = 53,228.58/x
  3. Step 3: Cross multiply
    159,856.73x = 239,757.83 × 53,228.58
  4. Step 4: Simplify right side
    159,856.73x = 12,761,968,568.64
  5. Step 5: Solve for x
    x = 12,761,968,568.64/159,856.73
  6. Step 6: Final answer
    x = 79,833.79

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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.