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Finding the Fourth Proportional to 218,067.60, 327,101.40 and 205,165.20

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Solution

The fourth proportional to 218,067.60, 327,101.40 and 205,165.20 is: 307,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,067.60 : 327,101.40 = 205,165.20 : x
  2. Step 2: Convert to fraction form
    218,067.60/327,101.40 = 205,165.20/x
  3. Step 3: Cross multiply
    218,067.60x = 327,101.40 × 205,165.20
  4. Step 4: Simplify right side
    218,067.60x = 67,109,824,151.28
  5. Step 5: Solve for x
    x = 67,109,824,151.28/218,067.60
  6. Step 6: Final answer
    x = 307,747.80

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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.