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Finding the Fourth Proportional to 171,954.44, 257,887.92 and 66,716

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Solution

The fourth proportional to 171,954.44, 257,887.92 and 66,716 is: 100,057.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,954.44 : 257,887.92 = 66,716 : x
  2. Step 2: Convert to fraction form
    171,954.44/257,887.92 = 66,716/x
  3. Step 3: Cross multiply
    171,954.44x = 257,887.92 × 66,716
  4. Step 4: Simplify right side
    171,954.44x = 17,205,250,470.72
  5. Step 5: Solve for x
    x = 17,205,250,470.72/171,954.44
  6. Step 6: Final answer
    x = 100,057.03

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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.