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Finding the Fourth Proportional to 120,770.31, 166,659.85 and 67,053.94

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Solution

The fourth proportional to 120,770.31, 166,659.85 and 67,053.94 is: 92,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,770.31 : 166,659.85 = 67,053.94 : x
  2. Step 2: Convert to fraction form
    120,770.31/166,659.85 = 67,053.94/x
  3. Step 3: Cross multiply
    120,770.31x = 166,659.85 × 67,053.94
  4. Step 4: Simplify right side
    120,770.31x = 11,175,200,186.94
  5. Step 5: Solve for x
    x = 11,175,200,186.94/120,770.31
  6. Step 6: Final answer
    x = 92,532.68

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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.