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Finding the Fourth Proportional to 204,791.85, 282,578.49 and 114,128.01

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Solution

The fourth proportional to 204,791.85, 282,578.49 and 114,128.01 is: 157,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,791.85 : 282,578.49 = 114,128.01 : x
  2. Step 2: Convert to fraction form
    204,791.85/282,578.49 = 114,128.01/x
  3. Step 3: Cross multiply
    204,791.85x = 282,578.49 × 114,128.01
  4. Step 4: Simplify right side
    204,791.85x = 32,250,120,732.50
  5. Step 5: Solve for x
    x = 32,250,120,732.50/204,791.85
  6. Step 6: Final answer
    x = 157,477.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.