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Finding the Fourth Proportional to 139,806, 192,950.51 and 83,217.38

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Solution

The fourth proportional to 139,806, 192,950.51 and 83,217.38 is: 114,850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,806 : 192,950.51 = 83,217.38 : x
  2. Step 2: Convert to fraction form
    139,806/192,950.51 = 83,217.38/x
  3. Step 3: Cross multiply
    139,806x = 192,950.51 × 83,217.38
  4. Step 4: Simplify right side
    139,806x = 16,056,834,531.02
  5. Step 5: Solve for x
    x = 16,056,834,531.02/139,806
  6. Step 6: Final answer
    x = 114,850.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.