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Finding the Fourth Proportional to 178,249.82, 267,194.81 and 111,736.66

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Solution

The fourth proportional to 178,249.82, 267,194.81 and 111,736.66 is: 167,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,249.82 : 267,194.81 = 111,736.66 : x
  2. Step 2: Convert to fraction form
    178,249.82/267,194.81 = 111,736.66/x
  3. Step 3: Cross multiply
    178,249.82x = 267,194.81 × 111,736.66
  4. Step 4: Simplify right side
    178,249.82x = 29,855,454,582.10
  5. Step 5: Solve for x
    x = 29,855,454,582.10/178,249.82
  6. Step 6: Final answer
    x = 167,492.20

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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.