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Finding the Fourth Proportional to 171,314.78, 256,824.39 and 82,446.02

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Solution

The fourth proportional to 171,314.78, 256,824.39 and 82,446.02 is: 123,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,314.78 : 256,824.39 = 82,446.02 : x
  2. Step 2: Convert to fraction form
    171,314.78/256,824.39 = 82,446.02/x
  3. Step 3: Cross multiply
    171,314.78x = 256,824.39 × 82,446.02
  4. Step 4: Simplify right side
    171,314.78x = 21,174,148,794.43
  5. Step 5: Solve for x
    x = 21,174,148,794.43/171,314.78
  6. Step 6: Final answer
    x = 123,597.91

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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.