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Finding the Fourth Proportional to 196,716.96, 294,265.44 and 179,954.88

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Solution

The fourth proportional to 196,716.96, 294,265.44 and 179,954.88 is: 269,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,716.96 : 294,265.44 = 179,954.88 : x
  2. Step 2: Convert to fraction form
    196,716.96/294,265.44 = 179,954.88/x
  3. Step 3: Cross multiply
    196,716.96x = 294,265.44 × 179,954.88
  4. Step 4: Simplify right side
    196,716.96x = 52,954,501,943.35
  5. Step 5: Solve for x
    x = 52,954,501,943.35/196,716.96
  6. Step 6: Final answer
    x = 269,191.34

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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.