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Finding the Fourth Proportional to 213,472.90, 320,215.83 and 73,229.50

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Solution

The fourth proportional to 213,472.90, 320,215.83 and 73,229.50 is: 109,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,472.90 : 320,215.83 = 73,229.50 : x
  2. Step 2: Convert to fraction form
    213,472.90/320,215.83 = 73,229.50/x
  3. Step 3: Cross multiply
    213,472.90x = 320,215.83 × 73,229.50
  4. Step 4: Simplify right side
    213,472.90x = 23,449,245,122.99
  5. Step 5: Solve for x
    x = 23,449,245,122.99/213,472.90
  6. Step 6: Final answer
    x = 109,846.47

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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.