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Finding the Fourth Proportional to 146,805.30, 220,216.32 and 41,616

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Solution

The fourth proportional to 146,805.30, 220,216.32 and 41,616 is: 62,426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,805.30 : 220,216.32 = 41,616 : x
  2. Step 2: Convert to fraction form
    146,805.30/220,216.32 = 41,616/x
  3. Step 3: Cross multiply
    146,805.30x = 220,216.32 × 41,616
  4. Step 4: Simplify right side
    146,805.30x = 9,164,522,373.12
  5. Step 5: Solve for x
    x = 9,164,522,373.12/146,805.30
  6. Step 6: Final answer
    x = 62,426.37

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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.