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Finding the Fourth Proportional to 197,067.32, 271,866.52 and 120,590.09

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Solution

The fourth proportional to 197,067.32, 271,866.52 and 120,590.09 is: 166,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,067.32 : 271,866.52 = 120,590.09 : x
  2. Step 2: Convert to fraction form
    197,067.32/271,866.52 = 120,590.09/x
  3. Step 3: Cross multiply
    197,067.32x = 271,866.52 × 120,590.09
  4. Step 4: Simplify right side
    197,067.32x = 32,784,408,492.98
  5. Step 5: Solve for x
    x = 32,784,408,492.98/197,067.32
  6. Step 6: Final answer
    x = 166,361.47

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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.