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Finding the Fourth Proportional to 204,223.20, 306,334.80 and 195,037.80

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Solution

The fourth proportional to 204,223.20, 306,334.80 and 195,037.80 is: 292,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,223.20 : 306,334.80 = 195,037.80 : x
  2. Step 2: Convert to fraction form
    204,223.20/306,334.80 = 195,037.80/x
  3. Step 3: Cross multiply
    204,223.20x = 306,334.80 × 195,037.80
  4. Step 4: Simplify right side
    204,223.20x = 59,746,865,455.44
  5. Step 5: Solve for x
    x = 59,746,865,455.44/204,223.20
  6. Step 6: Final answer
    x = 292,556.70

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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.