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Finding the Fourth Proportional to 139,821.72, 193,067.90 and 113,984.43

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Solution

The fourth proportional to 139,821.72, 193,067.90 and 113,984.43 is: 157,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,821.72 : 193,067.90 = 113,984.43 : x
  2. Step 2: Convert to fraction form
    139,821.72/193,067.90 = 113,984.43/x
  3. Step 3: Cross multiply
    139,821.72x = 193,067.90 × 113,984.43
  4. Step 4: Simplify right side
    139,821.72x = 22,006,734,532.80
  5. Step 5: Solve for x
    x = 22,006,734,532.80/139,821.72
  6. Step 6: Final answer
    x = 157,391.39

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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.