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Finding the Fourth Proportional to 100,906.75, 151,372.68 and 34,341.76

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Solution

The fourth proportional to 100,906.75, 151,372.68 and 34,341.76 is: 51,516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,906.75 : 151,372.68 = 34,341.76 : x
  2. Step 2: Convert to fraction form
    100,906.75/151,372.68 = 34,341.76/x
  3. Step 3: Cross multiply
    100,906.75x = 151,372.68 × 34,341.76
  4. Step 4: Simplify right side
    100,906.75x = 5,198,404,247.12
  5. Step 5: Solve for x
    x = 5,198,404,247.12/100,906.75
  6. Step 6: Final answer
    x = 51,516.91

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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.