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Finding the Fourth Proportional to 252,067.61, 378,212.63 and 133,709.94

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Solution

The fourth proportional to 252,067.61, 378,212.63 and 133,709.94 is: 200,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,067.61 : 378,212.63 = 133,709.94 : x
  2. Step 2: Convert to fraction form
    252,067.61/378,212.63 = 133,709.94/x
  3. Step 3: Cross multiply
    252,067.61x = 378,212.63 × 133,709.94
  4. Step 4: Simplify right side
    252,067.61x = 50,570,787,395.99
  5. Step 5: Solve for x
    x = 50,570,787,395.99/252,067.61
  6. Step 6: Final answer
    x = 200,623.90

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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.