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Finding the Fourth Proportional to 167,863, 231,584.42 and 116,862.12

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Solution

The fourth proportional to 167,863, 231,584.42 and 116,862.12 is: 161,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,863 : 231,584.42 = 116,862.12 : x
  2. Step 2: Convert to fraction form
    167,863/231,584.42 = 116,862.12/x
  3. Step 3: Cross multiply
    167,863x = 231,584.42 × 116,862.12
  4. Step 4: Simplify right side
    167,863x = 27,063,446,280.17
  5. Step 5: Solve for x
    x = 27,063,446,280.17/167,863
  6. Step 6: Final answer
    x = 161,223.42

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1.5x scale

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.