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Finding the Fourth Proportional to 204,636.54, 282,394.17 and 113,992.38

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Solution

The fourth proportional to 204,636.54, 282,394.17 and 113,992.38 is: 157,307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,636.54 : 282,394.17 = 113,992.38 : x
  2. Step 2: Convert to fraction form
    204,636.54/282,394.17 = 113,992.38/x
  3. Step 3: Cross multiply
    204,636.54x = 282,394.17 × 113,992.38
  4. Step 4: Simplify right side
    204,636.54x = 32,190,783,536.42
  5. Step 5: Solve for x
    x = 32,190,783,536.42/204,636.54
  6. Step 6: Final answer
    x = 157,307.11

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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.