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Finding the Fourth Proportional to 208,863.60, 313,265.88 and 68,604

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Solution

The fourth proportional to 208,863.60, 313,265.88 and 68,604 is: 102,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,863.60 : 313,265.88 = 68,604 : x
  2. Step 2: Convert to fraction form
    208,863.60/313,265.88 = 68,604/x
  3. Step 3: Cross multiply
    208,863.60x = 313,265.88 × 68,604
  4. Step 4: Simplify right side
    208,863.60x = 21,491,292,431.52
  5. Step 5: Solve for x
    x = 21,491,292,431.52/208,863.60
  6. Step 6: Final answer
    x = 102,896.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.