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Finding the Fourth Proportional to 204,910.80, 307,366.20 and 57,166.80

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Solution

The fourth proportional to 204,910.80, 307,366.20 and 57,166.80 is: 85,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,910.80 : 307,366.20 = 57,166.80 : x
  2. Step 2: Convert to fraction form
    204,910.80/307,366.20 = 57,166.80/x
  3. Step 3: Cross multiply
    204,910.80x = 307,366.20 × 57,166.80
  4. Step 4: Simplify right side
    204,910.80x = 17,571,142,082.16
  5. Step 5: Solve for x
    x = 17,571,142,082.16/204,910.80
  6. Step 6: Final answer
    x = 85,750.20

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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.