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Finding the Fourth Proportional to 123,738, 170,758.56 and 67,149.38

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Solution

The fourth proportional to 123,738, 170,758.56 and 67,149.38 is: 92,666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,738 : 170,758.56 = 67,149.38 : x
  2. Step 2: Convert to fraction form
    123,738/170,758.56 = 67,149.38/x
  3. Step 3: Cross multiply
    123,738x = 170,758.56 × 67,149.38
  4. Step 4: Simplify right side
    123,738x = 11,466,331,433.69
  5. Step 5: Solve for x
    x = 11,466,331,433.69/123,738
  6. Step 6: Final answer
    x = 92,666.21

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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.