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Finding the Fourth Proportional to 170,738.60, 256,107.90 and 82,165.10

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Solution

The fourth proportional to 170,738.60, 256,107.90 and 82,165.10 is: 123,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,738.60 : 256,107.90 = 82,165.10 : x
  2. Step 2: Convert to fraction form
    170,738.60/256,107.90 = 82,165.10/x
  3. Step 3: Cross multiply
    170,738.60x = 256,107.90 × 82,165.10
  4. Step 4: Simplify right side
    170,738.60x = 21,043,131,214.29
  5. Step 5: Solve for x
    x = 21,043,131,214.29/170,738.60
  6. Step 6: Final answer
    x = 123,247.65

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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.