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Finding the Fourth Proportional to 200,169.72, 300,241.62 and 75,507.48

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Solution

The fourth proportional to 200,169.72, 300,241.62 and 75,507.48 is: 113,256.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,169.72 : 300,241.62 = 75,507.48 : x
  2. Step 2: Convert to fraction form
    200,169.72/300,241.62 = 75,507.48/x
  3. Step 3: Cross multiply
    200,169.72x = 300,241.62 × 75,507.48
  4. Step 4: Simplify right side
    200,169.72x = 22,670,488,117.32
  5. Step 5: Solve for x
    x = 22,670,488,117.32/200,169.72
  6. Step 6: Final answer
    x = 113,256.33

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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.