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Finding the Fourth Proportional to 208,857.76, 313,319.28 and 68,584.48

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Solution

The fourth proportional to 208,857.76, 313,319.28 and 68,584.48 is: 102,887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,857.76 : 313,319.28 = 68,584.48 : x
  2. Step 2: Convert to fraction form
    208,857.76/313,319.28 = 68,584.48/x
  3. Step 3: Cross multiply
    208,857.76x = 313,319.28 × 68,584.48
  4. Step 4: Simplify right side
    208,857.76x = 21,488,839,892.77
  5. Step 5: Solve for x
    x = 21,488,839,892.77/208,857.76
  6. Step 6: Final answer
    x = 102,887.44

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Why These Related Problems?

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