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Finding the Fourth Proportional to 178,846, 268,310.46 and 52,481.08

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Solution

The fourth proportional to 178,846, 268,310.46 and 52,481.08 is: 78,733.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,846 : 268,310.46 = 52,481.08 : x
  2. Step 2: Convert to fraction form
    178,846/268,310.46 = 52,481.08/x
  3. Step 3: Cross multiply
    178,846x = 268,310.46 × 52,481.08
  4. Step 4: Simplify right side
    178,846x = 14,081,222,716.10
  5. Step 5: Solve for x
    x = 14,081,222,716.10/178,846
  6. Step 6: Final answer
    x = 78,733.79

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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.