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Finding the Fourth Proportional to 204,435.88, 282,121.53 and 113,789.89

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Solution

The fourth proportional to 204,435.88, 282,121.53 and 113,789.89 is: 157,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,435.88 : 282,121.53 = 113,789.89 : x
  2. Step 2: Convert to fraction form
    204,435.88/282,121.53 = 113,789.89/x
  3. Step 3: Cross multiply
    204,435.88x = 282,121.53 × 113,789.89
  4. Step 4: Simplify right side
    204,435.88x = 32,102,577,791.27
  5. Step 5: Solve for x
    x = 32,102,577,791.27/204,435.88
  6. Step 6: Final answer
    x = 157,030.06

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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.