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Finding the Fourth Proportional to 305,961.20, 422,166.84 and 178,642.16

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Solution

The fourth proportional to 305,961.20, 422,166.84 and 178,642.16 is: 246,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,961.20 : 422,166.84 = 178,642.16 : x
  2. Step 2: Convert to fraction form
    305,961.20/422,166.84 = 178,642.16/x
  3. Step 3: Cross multiply
    305,961.20x = 422,166.84 × 178,642.16
  4. Step 4: Simplify right side
    305,961.20x = 75,416,796,177.97
  5. Step 5: Solve for x
    x = 75,416,796,177.97/305,961.20
  6. Step 6: Final answer
    x = 246,491.37

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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.