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Finding the Fourth Proportional to 149,135.32, 205,806.77 and 82,067.32

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Solution

The fourth proportional to 149,135.32, 205,806.77 and 82,067.32 is: 113,252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,135.32 : 205,806.77 = 82,067.32 : x
  2. Step 2: Convert to fraction form
    149,135.32/205,806.77 = 82,067.32/x
  3. Step 3: Cross multiply
    149,135.32x = 205,806.77 × 82,067.32
  4. Step 4: Simplify right side
    149,135.32x = 16,890,010,051.76
  5. Step 5: Solve for x
    x = 16,890,010,051.76/149,135.32
  6. Step 6: Final answer
    x = 113,252.92

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