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Finding the Fourth Proportional to 110,202.46, 151,906.66 and 71,894.41

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Solution

The fourth proportional to 110,202.46, 151,906.66 and 71,894.41 is: 99,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,202.46 : 151,906.66 = 71,894.41 : x
  2. Step 2: Convert to fraction form
    110,202.46/151,906.66 = 71,894.41/x
  3. Step 3: Cross multiply
    110,202.46x = 151,906.66 × 71,894.41
  4. Step 4: Simplify right side
    110,202.46x = 10,921,239,136.27
  5. Step 5: Solve for x
    x = 10,921,239,136.27/110,202.46
  6. Step 6: Final answer
    x = 99,101.59

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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.