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Finding the Fourth Proportional to 201,634.97, 302,241.42 and 75,224.34

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Solution

The fourth proportional to 201,634.97, 302,241.42 and 75,224.34 is: 112,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,634.97 : 302,241.42 = 75,224.34 : x
  2. Step 2: Convert to fraction form
    201,634.97/302,241.42 = 75,224.34/x
  3. Step 3: Cross multiply
    201,634.97x = 302,241.42 × 75,224.34
  4. Step 4: Simplify right side
    201,634.97x = 22,735,911,340.16
  5. Step 5: Solve for x
    x = 22,735,911,340.16/201,634.97
  6. Step 6: Final answer
    x = 112,757.78

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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.