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Finding the Fourth Proportional to 139,149.43, 191,907.68 and 106,961.96

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Solution

The fourth proportional to 139,149.43, 191,907.68 and 106,961.96 is: 147,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,149.43 : 191,907.68 = 106,961.96 : x
  2. Step 2: Convert to fraction form
    139,149.43/191,907.68 = 106,961.96/x
  3. Step 3: Cross multiply
    139,149.43x = 191,907.68 × 106,961.96
  4. Step 4: Simplify right side
    139,149.43x = 20,526,821,591.85
  5. Step 5: Solve for x
    x = 20,526,821,591.85/139,149.43
  6. Step 6: Final answer
    x = 147,516.39

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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.