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Finding the Fourth Proportional to 164,523.71, 246,754.38 and 80,199.14

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Solution

The fourth proportional to 164,523.71, 246,754.38 and 80,199.14 is: 120,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,523.71 : 246,754.38 = 80,199.14 : x
  2. Step 2: Convert to fraction form
    164,523.71/246,754.38 = 80,199.14/x
  3. Step 3: Cross multiply
    164,523.71x = 246,754.38 × 80,199.14
  4. Step 4: Simplify right side
    164,523.71x = 19,789,489,067.23
  5. Step 5: Solve for x
    x = 19,789,489,067.23/164,523.71
  6. Step 6: Final answer
    x = 120,283.51

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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.