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Finding the Fourth Proportional to 123,736.38, 170,756.31 and 67,147.76

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Solution

The fourth proportional to 123,736.38, 170,756.31 and 67,147.76 is: 92,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,736.38 : 170,756.31 = 67,147.76 : x
  2. Step 2: Convert to fraction form
    123,736.38/170,756.31 = 67,147.76/x
  3. Step 3: Cross multiply
    123,736.38x = 170,756.31 × 67,147.76
  4. Step 4: Simplify right side
    123,736.38x = 11,465,903,120.39
  5. Step 5: Solve for x
    x = 11,465,903,120.39/123,736.38
  6. Step 6: Final answer
    x = 92,663.96

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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.