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Finding the Fourth Proportional to 106,408.94, 159,660.43 and 55,795.88

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Solution

The fourth proportional to 106,408.94, 159,660.43 and 55,795.88 is: 83,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,408.94 : 159,660.43 = 55,795.88 : x
  2. Step 2: Convert to fraction form
    106,408.94/159,660.43 = 55,795.88/x
  3. Step 3: Cross multiply
    106,408.94x = 159,660.43 × 55,795.88
  4. Step 4: Simplify right side
    106,408.94x = 8,908,394,452.69
  5. Step 5: Solve for x
    x = 8,908,394,452.69/106,408.94
  6. Step 6: Final answer
    x = 83,718.48

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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.