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Finding the Fourth Proportional to 146,806.20, 220,209.30 and 53,299.80

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Solution

The fourth proportional to 146,806.20, 220,209.30 and 53,299.80 is: 79,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,806.20 : 220,209.30 = 53,299.80 : x
  2. Step 2: Convert to fraction form
    146,806.20/220,209.30 = 53,299.80/x
  3. Step 3: Cross multiply
    146,806.20x = 220,209.30 × 53,299.80
  4. Step 4: Simplify right side
    146,806.20x = 11,737,111,648.14
  5. Step 5: Solve for x
    x = 11,737,111,648.14/146,806.20
  6. Step 6: Final answer
    x = 79,949.70

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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.