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Finding the Fourth Proportional to 111,974.23, 167,960.30 and 45,398.54

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Solution

The fourth proportional to 111,974.23, 167,960.30 and 45,398.54 is: 68,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,974.23 : 167,960.30 = 45,398.54 : x
  2. Step 2: Convert to fraction form
    111,974.23/167,960.30 = 45,398.54/x
  3. Step 3: Cross multiply
    111,974.23x = 167,960.30 × 45,398.54
  4. Step 4: Simplify right side
    111,974.23x = 7,625,152,397.96
  5. Step 5: Solve for x
    x = 7,625,152,397.96/111,974.23
  6. Step 6: Final answer
    x = 68,097.39

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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.