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Finding the Fourth Proportional to 166,896, 230,316.48 and 91,446.24

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Solution

The fourth proportional to 166,896, 230,316.48 and 91,446.24 is: 126,195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,896 : 230,316.48 = 91,446.24 : x
  2. Step 2: Convert to fraction form
    166,896/230,316.48 = 91,446.24/x
  3. Step 3: Cross multiply
    166,896x = 230,316.48 × 91,446.24
  4. Step 4: Simplify right side
    166,896x = 21,061,576,106.04
  5. Step 5: Solve for x
    x = 21,061,576,106.04/166,896
  6. Step 6: Final answer
    x = 126,195.81

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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.