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Finding the Fourth Proportional to 289,974.62, 400,164.16 and 160,932.58

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Solution

The fourth proportional to 289,974.62, 400,164.16 and 160,932.58 is: 222,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,974.62 : 400,164.16 = 160,932.58 : x
  2. Step 2: Convert to fraction form
    289,974.62/400,164.16 = 160,932.58/x
  3. Step 3: Cross multiply
    289,974.62x = 400,164.16 × 160,932.58
  4. Step 4: Simplify right side
    289,974.62x = 64,399,450,692.33
  5. Step 5: Solve for x
    x = 64,399,450,692.33/289,974.62
  6. Step 6: Final answer
    x = 222,086.51

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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.