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Finding the Fourth Proportional to 133,794, 200,704.44 and 35,298

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Solution

The fourth proportional to 133,794, 200,704.44 and 35,298 is: 52,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,794 : 200,704.44 = 35,298 : x
  2. Step 2: Convert to fraction form
    133,794/200,704.44 = 35,298/x
  3. Step 3: Cross multiply
    133,794x = 200,704.44 × 35,298
  4. Step 4: Simplify right side
    133,794x = 7,084,465,323.12
  5. Step 5: Solve for x
    x = 7,084,465,323.12/133,794
  6. Step 6: Final answer
    x = 52,950.55

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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.