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Finding the Fourth Proportional to 273,067.97, 409,682.60 and 140,041.43

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Solution

The fourth proportional to 273,067.97, 409,682.60 and 140,041.43 is: 210,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,067.97 : 409,682.60 = 140,041.43 : x
  2. Step 2: Convert to fraction form
    273,067.97/409,682.60 = 140,041.43/x
  3. Step 3: Cross multiply
    273,067.97x = 409,682.60 × 140,041.43
  4. Step 4: Simplify right side
    273,067.97x = 57,372,534,401.50
  5. Step 5: Solve for x
    x = 57,372,534,401.50/273,067.97
  6. Step 6: Final answer
    x = 210,103.50

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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.