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Finding the Fourth Proportional to 167,224.32, 230,768 and 91,770.88

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Solution

The fourth proportional to 167,224.32, 230,768 and 91,770.88 is: 126,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,224.32 : 230,768 = 91,770.88 : x
  2. Step 2: Convert to fraction form
    167,224.32/230,768 = 91,770.88/x
  3. Step 3: Cross multiply
    167,224.32x = 230,768 × 91,770.88
  4. Step 4: Simplify right side
    167,224.32x = 21,177,782,435.84
  5. Step 5: Solve for x
    x = 21,177,782,435.84/167,224.32
  6. Step 6: Final answer
    x = 126,642.96

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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.