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Finding the Fourth Proportional to 178,601.16, 267,901.74 and 53,942.16

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Solution

The fourth proportional to 178,601.16, 267,901.74 and 53,942.16 is: 80,913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,601.16 : 267,901.74 = 53,942.16 : x
  2. Step 2: Convert to fraction form
    178,601.16/267,901.74 = 53,942.16/x
  3. Step 3: Cross multiply
    178,601.16x = 267,901.74 × 53,942.16
  4. Step 4: Simplify right side
    178,601.16x = 14,451,197,183.85
  5. Step 5: Solve for x
    x = 14,451,197,183.85/178,601.16
  6. Step 6: Final answer
    x = 80,913.23

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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.