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Finding the Fourth Proportional to 208,694.54, 287,998.17 and 113,201.12

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Solution

The fourth proportional to 208,694.54, 287,998.17 and 113,201.12 is: 156,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,694.54 : 287,998.17 = 113,201.12 : x
  2. Step 2: Convert to fraction form
    208,694.54/287,998.17 = 113,201.12/x
  3. Step 3: Cross multiply
    208,694.54x = 287,998.17 × 113,201.12
  4. Step 4: Simplify right side
    208,694.54x = 32,601,715,401.95
  5. Step 5: Solve for x
    x = 32,601,715,401.95/208,694.54
  6. Step 6: Final answer
    x = 156,217.39

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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.