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Finding the Fourth Proportional to 204,569.55, 306,714.60 and 82,911.60

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Solution

The fourth proportional to 204,569.55, 306,714.60 and 82,911.60 is: 124,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,569.55 : 306,714.60 = 82,911.60 : x
  2. Step 2: Convert to fraction form
    204,569.55/306,714.60 = 82,911.60/x
  3. Step 3: Cross multiply
    204,569.55x = 306,714.60 × 82,911.60
  4. Step 4: Simplify right side
    204,569.55x = 25,430,198,229.36
  5. Step 5: Solve for x
    x = 25,430,198,229.36/204,569.55
  6. Step 6: Final answer
    x = 124,310.77

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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.