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Finding the Fourth Proportional to 167,838.94, 231,610.88 and 96,169.12

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Solution

The fourth proportional to 167,838.94, 231,610.88 and 96,169.12 is: 132,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,838.94 : 231,610.88 = 96,169.12 : x
  2. Step 2: Convert to fraction form
    167,838.94/231,610.88 = 96,169.12/x
  3. Step 3: Cross multiply
    167,838.94x = 231,610.88 × 96,169.12
  4. Step 4: Simplify right side
    167,838.94x = 22,273,814,512.03
  5. Step 5: Solve for x
    x = 22,273,814,512.03/167,838.94
  6. Step 6: Final answer
    x = 132,709.46

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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.