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Finding the Fourth Proportional to 207,658.60, 311,372.70 and 82,858.60

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Solution

The fourth proportional to 207,658.60, 311,372.70 and 82,858.60 is: 124,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,658.60 : 311,372.70 = 82,858.60 : x
  2. Step 2: Convert to fraction form
    207,658.60/311,372.70 = 82,858.60/x
  3. Step 3: Cross multiply
    207,658.60x = 311,372.70 × 82,858.60
  4. Step 4: Simplify right side
    207,658.60x = 25,799,906,000.22
  5. Step 5: Solve for x
    x = 25,799,906,000.22/207,658.60
  6. Step 6: Final answer
    x = 124,241.93

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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.