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Finding the Fourth Proportional to 106,896.71, 160,391.57 and 67,007.11

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Solution

The fourth proportional to 106,896.71, 160,391.57 and 67,007.11 is: 100,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,896.71 : 160,391.57 = 67,007.11 : x
  2. Step 2: Convert to fraction form
    106,896.71/160,391.57 = 67,007.11/x
  3. Step 3: Cross multiply
    106,896.71x = 160,391.57 × 67,007.11
  4. Step 4: Simplify right side
    106,896.71x = 10,747,375,574.06
  5. Step 5: Solve for x
    x = 10,747,375,574.06/106,896.71
  6. Step 6: Final answer
    x = 100,539.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.