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Finding the Fourth Proportional to 149,139.66, 205,806.51 and 82,067.34

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Solution

The fourth proportional to 149,139.66, 205,806.51 and 82,067.34 is: 113,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,139.66 : 205,806.51 = 82,067.34 : x
  2. Step 2: Convert to fraction form
    149,139.66/205,806.51 = 82,067.34/x
  3. Step 3: Cross multiply
    149,139.66x = 205,806.51 × 82,067.34
  4. Step 4: Simplify right side
    149,139.66x = 16,889,992,830.38
  5. Step 5: Solve for x
    x = 16,889,992,830.38/149,139.66
  6. Step 6: Final answer
    x = 113,249.51

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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.