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Finding the Fourth Proportional to 204,645.51, 280,365.66 and 196,975.26

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Solution

The fourth proportional to 204,645.51, 280,365.66 and 196,975.26 is: 269,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,645.51 : 280,365.66 = 196,975.26 : x
  2. Step 2: Convert to fraction form
    204,645.51/280,365.66 = 196,975.26/x
  3. Step 3: Cross multiply
    204,645.51x = 280,365.66 × 196,975.26
  4. Step 4: Simplify right side
    204,645.51x = 55,225,098,773.57
  5. Step 5: Solve for x
    x = 55,225,098,773.57/204,645.51
  6. Step 6: Final answer
    x = 269,857.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.