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Finding the Fourth Proportional to 109,358.56, 163,910.40 and 50,200.48

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Solution

The fourth proportional to 109,358.56, 163,910.40 and 50,200.48 is: 75,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,358.56 : 163,910.40 = 50,200.48 : x
  2. Step 2: Convert to fraction form
    109,358.56/163,910.40 = 50,200.48/x
  3. Step 3: Cross multiply
    109,358.56x = 163,910.40 × 50,200.48
  4. Step 4: Simplify right side
    109,358.56x = 8,228,380,756.99
  5. Step 5: Solve for x
    x = 8,228,380,756.99/109,358.56
  6. Step 6: Final answer
    x = 75,242.22

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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.