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Finding the Fourth Proportional to 167,783.80, 231,574.80 and 96,212.20

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Solution

The fourth proportional to 167,783.80, 231,574.80 and 96,212.20 is: 132,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,783.80 : 231,574.80 = 96,212.20 : x
  2. Step 2: Convert to fraction form
    167,783.80/231,574.80 = 96,212.20/x
  3. Step 3: Cross multiply
    167,783.80x = 231,574.80 × 96,212.20
  4. Step 4: Simplify right side
    167,783.80x = 22,280,320,972.56
  5. Step 5: Solve for x
    x = 22,280,320,972.56/167,783.80
  6. Step 6: Final answer
    x = 132,791.85

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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.