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Finding the Fourth Proportional to 146,806.30, 220,217.82 and 41,617

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Solution

The fourth proportional to 146,806.30, 220,217.82 and 41,617 is: 62,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,806.30 : 220,217.82 = 41,617 : x
  2. Step 2: Convert to fraction form
    146,806.30/220,217.82 = 41,617/x
  3. Step 3: Cross multiply
    146,806.30x = 220,217.82 × 41,617
  4. Step 4: Simplify right side
    146,806.30x = 9,164,805,014.94
  5. Step 5: Solve for x
    x = 9,164,805,014.94/146,806.30
  6. Step 6: Final answer
    x = 62,427.87

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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.