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Finding the Fourth Proportional to 146,800.30, 220,208.82 and 41,611

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Solution

The fourth proportional to 146,800.30, 220,208.82 and 41,611 is: 62,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,800.30 : 220,208.82 = 41,611 : x
  2. Step 2: Convert to fraction form
    146,800.30/220,208.82 = 41,611/x
  3. Step 3: Cross multiply
    146,800.30x = 220,208.82 × 41,611
  4. Step 4: Simplify right side
    146,800.30x = 9,163,109,209.02
  5. Step 5: Solve for x
    x = 9,163,109,209.02/146,800.30
  6. Step 6: Final answer
    x = 62,418.87

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Why These Related Problems?

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