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Finding the Fourth Proportional to 100,834.30, 151,251.45 and 41,785.30

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Solution

The fourth proportional to 100,834.30, 151,251.45 and 41,785.30 is: 62,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,834.30 : 151,251.45 = 41,785.30 : x
  2. Step 2: Convert to fraction form
    100,834.30/151,251.45 = 41,785.30/x
  3. Step 3: Cross multiply
    100,834.30x = 151,251.45 × 41,785.30
  4. Step 4: Simplify right side
    100,834.30x = 6,320,087,213.69
  5. Step 5: Solve for x
    x = 6,320,087,213.69/100,834.30
  6. Step 6: Final answer
    x = 62,677.95

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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.