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Finding the Fourth Proportional to 207,599.24, 311,385.90 and 82,850.60

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Solution

The fourth proportional to 207,599.24, 311,385.90 and 82,850.60 is: 124,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,599.24 : 311,385.90 = 82,850.60 : x
  2. Step 2: Convert to fraction form
    207,599.24/311,385.90 = 82,850.60/x
  3. Step 3: Cross multiply
    207,599.24x = 311,385.90 × 82,850.60
  4. Step 4: Simplify right side
    207,599.24x = 25,798,508,646.54
  5. Step 5: Solve for x
    x = 25,798,508,646.54/207,599.24
  6. Step 6: Final answer
    x = 124,270.73

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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.