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Finding the Fourth Proportional to 167,223, 230,768.10 and 91,771.32

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Solution

The fourth proportional to 167,223, 230,768.10 and 91,771.32 is: 126,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,223 : 230,768.10 = 91,771.32 : x
  2. Step 2: Convert to fraction form
    167,223/230,768.10 = 91,771.32/x
  3. Step 3: Cross multiply
    167,223x = 230,768.10 × 91,771.32
  4. Step 4: Simplify right side
    167,223x = 21,177,893,150.89
  5. Step 5: Solve for x
    x = 21,177,893,150.89/167,223
  6. Step 6: Final answer
    x = 126,644.62

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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.