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Finding the Fourth Proportional to 190,100.31, 262,067.97 and 129,593.31

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Solution

The fourth proportional to 190,100.31, 262,067.97 and 129,593.31 is: 178,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,100.31 : 262,067.97 = 129,593.31 : x
  2. Step 2: Convert to fraction form
    190,100.31/262,067.97 = 129,593.31/x
  3. Step 3: Cross multiply
    190,100.31x = 262,067.97 × 129,593.31
  4. Step 4: Simplify right side
    190,100.31x = 33,962,255,677.28
  5. Step 5: Solve for x
    x = 33,962,255,677.28/190,100.31
  6. Step 6: Final answer
    x = 178,654.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.