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Finding the Fourth Proportional to 109,906.35, 164,914.20 and 43,348.65

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Solution

The fourth proportional to 109,906.35, 164,914.20 and 43,348.65 is: 65,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,906.35 : 164,914.20 = 43,348.65 : x
  2. Step 2: Convert to fraction form
    109,906.35/164,914.20 = 43,348.65/x
  3. Step 3: Cross multiply
    109,906.35x = 164,914.20 × 43,348.65
  4. Step 4: Simplify right side
    109,906.35x = 7,148,807,935.83
  5. Step 5: Solve for x
    x = 7,148,807,935.83/109,906.35
  6. Step 6: Final answer
    x = 65,044.54

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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.