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Finding the Fourth Proportional to 167,066.43, 230,531.01 and 106,672.43

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Solution

The fourth proportional to 167,066.43, 230,531.01 and 106,672.43 is: 147,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,066.43 : 230,531.01 = 106,672.43 : x
  2. Step 2: Convert to fraction form
    167,066.43/230,531.01 = 106,672.43/x
  3. Step 3: Cross multiply
    167,066.43x = 230,531.01 × 106,672.43
  4. Step 4: Simplify right side
    167,066.43x = 24,591,301,874.40
  5. Step 5: Solve for x
    x = 24,591,301,874.40/167,066.43
  6. Step 6: Final answer
    x = 147,194.75

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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.