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Finding the Fourth Proportional to 178,238.12, 267,344.20 and 65,865.96

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Solution

The fourth proportional to 178,238.12, 267,344.20 and 65,865.96 is: 98,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,238.12 : 267,344.20 = 65,865.96 : x
  2. Step 2: Convert to fraction form
    178,238.12/267,344.20 = 65,865.96/x
  3. Step 3: Cross multiply
    178,238.12x = 267,344.20 × 65,865.96
  4. Step 4: Simplify right side
    178,238.12x = 17,608,882,095.27
  5. Step 5: Solve for x
    x = 17,608,882,095.27/178,238.12
  6. Step 6: Final answer
    x = 98,794.14

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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.