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Finding the Fourth Proportional to 167,578.16, 231,019.88 and 133,286

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Solution

The fourth proportional to 167,578.16, 231,019.88 and 133,286 is: 183,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,578.16 : 231,019.88 = 133,286 : x
  2. Step 2: Convert to fraction form
    167,578.16/231,019.88 = 133,286/x
  3. Step 3: Cross multiply
    167,578.16x = 231,019.88 × 133,286
  4. Step 4: Simplify right side
    167,578.16x = 30,791,715,725.68
  5. Step 5: Solve for x
    x = 30,791,715,725.68/167,578.16
  6. Step 6: Final answer
    x = 183,745.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.