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Finding the Fourth Proportional to 178,546.16, 267,836.52 and 52,183.56

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Solution

The fourth proportional to 178,546.16, 267,836.52 and 52,183.56 is: 78,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,546.16 : 267,836.52 = 52,183.56 : x
  2. Step 2: Convert to fraction form
    178,546.16/267,836.52 = 52,183.56/x
  3. Step 3: Cross multiply
    178,546.16x = 267,836.52 × 52,183.56
  4. Step 4: Simplify right side
    178,546.16x = 13,976,663,111.61
  5. Step 5: Solve for x
    x = 13,976,663,111.61/178,546.16
  6. Step 6: Final answer
    x = 78,280.39

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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.