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Finding the Fourth Proportional to 118,906.50, 164,098.26 and 68,605.50

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Solution

The fourth proportional to 118,906.50, 164,098.26 and 68,605.50 is: 94,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,906.50 : 164,098.26 = 68,605.50 : x
  2. Step 2: Convert to fraction form
    118,906.50/164,098.26 = 68,605.50/x
  3. Step 3: Cross multiply
    118,906.50x = 164,098.26 × 68,605.50
  4. Step 4: Simplify right side
    118,906.50x = 11,258,043,176.43
  5. Step 5: Solve for x
    x = 11,258,043,176.43/118,906.50
  6. Step 6: Final answer
    x = 94,679.80

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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.