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Finding the Fourth Proportional to 109,892.35, 164,893.20 and 43,334.65

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Solution

The fourth proportional to 109,892.35, 164,893.20 and 43,334.65 is: 65,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,892.35 : 164,893.20 = 43,334.65 : x
  2. Step 2: Convert to fraction form
    109,892.35/164,893.20 = 43,334.65/x
  3. Step 3: Cross multiply
    109,892.35x = 164,893.20 × 43,334.65
  4. Step 4: Simplify right side
    109,892.35x = 7,145,589,109.38
  5. Step 5: Solve for x
    x = 7,145,589,109.38/109,892.35
  6. Step 6: Final answer
    x = 65,023.54

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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.