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Finding the Fourth Proportional to 231,766.37, 347,805.38 and 82,006.08

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Solution

The fourth proportional to 231,766.37, 347,805.38 and 82,006.08 is: 123,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,766.37 : 347,805.38 = 82,006.08 : x
  2. Step 2: Convert to fraction form
    231,766.37/347,805.38 = 82,006.08/x
  3. Step 3: Cross multiply
    231,766.37x = 347,805.38 × 82,006.08
  4. Step 4: Simplify right side
    231,766.37x = 28,522,155,816.71
  5. Step 5: Solve for x
    x = 28,522,155,816.71/231,766.37
  6. Step 6: Final answer
    x = 123,064.26

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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.