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Finding the Fourth Proportional to 123,734.67, 170,754.29 and 67,146.03

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Solution

The fourth proportional to 123,734.67, 170,754.29 and 67,146.03 is: 92,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,734.67 : 170,754.29 = 67,146.03 : x
  2. Step 2: Convert to fraction form
    123,734.67/170,754.29 = 67,146.03/x
  3. Step 3: Cross multiply
    123,734.67x = 170,754.29 × 67,146.03
  4. Step 4: Simplify right side
    123,734.67x = 11,465,472,678.97
  5. Step 5: Solve for x
    x = 11,465,472,678.97/123,734.67
  6. Step 6: Final answer
    x = 92,661.76

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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.