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Finding the Fourth Proportional to 166,793.50, 230,175.84 and 91,342

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Solution

The fourth proportional to 166,793.50, 230,175.84 and 91,342 is: 126,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,793.50 : 230,175.84 = 91,342 : x
  2. Step 2: Convert to fraction form
    166,793.50/230,175.84 = 91,342/x
  3. Step 3: Cross multiply
    166,793.50x = 230,175.84 × 91,342
  4. Step 4: Simplify right side
    166,793.50x = 21,024,721,577.28
  5. Step 5: Solve for x
    x = 21,024,721,577.28/166,793.50
  6. Step 6: Final answer
    x = 126,052.40

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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.