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Finding the Fourth Proportional to 213,028.62, 319,523.49 and 196,323.18

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Solution

The fourth proportional to 213,028.62, 319,523.49 and 196,323.18 is: 294,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,028.62 : 319,523.49 = 196,323.18 : x
  2. Step 2: Convert to fraction form
    213,028.62/319,523.49 = 196,323.18/x
  3. Step 3: Cross multiply
    213,028.62x = 319,523.49 × 196,323.18
  4. Step 4: Simplify right side
    213,028.62x = 62,729,867,641.50
  5. Step 5: Solve for x
    x = 62,729,867,641.50/213,028.62
  6. Step 6: Final answer
    x = 294,466.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.