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Finding the Fourth Proportional to 109,910.40, 164,865.60 and 50,861.40

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Solution

The fourth proportional to 109,910.40, 164,865.60 and 50,861.40 is: 76,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,910.40 : 164,865.60 = 50,861.40 : x
  2. Step 2: Convert to fraction form
    109,910.40/164,865.60 = 50,861.40/x
  3. Step 3: Cross multiply
    109,910.40x = 164,865.60 × 50,861.40
  4. Step 4: Simplify right side
    109,910.40x = 8,385,295,227.84
  5. Step 5: Solve for x
    x = 8,385,295,227.84/109,910.40
  6. Step 6: Final answer
    x = 76,292.10

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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.