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Finding the Fourth Proportional to 106,701.71, 160,131.50 and 50,542.11

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Solution

The fourth proportional to 106,701.71, 160,131.50 and 50,542.11 is: 75,850.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,701.71 : 160,131.50 = 50,542.11 : x
  2. Step 2: Convert to fraction form
    106,701.71/160,131.50 = 50,542.11/x
  3. Step 3: Cross multiply
    106,701.71x = 160,131.50 × 50,542.11
  4. Step 4: Simplify right side
    106,701.71x = 8,093,383,887.47
  5. Step 5: Solve for x
    x = 8,093,383,887.47/106,701.71
  6. Step 6: Final answer
    x = 75,850.55

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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.