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Finding the Fourth Proportional to 106,696.26, 160,144.83 and 54,143.46

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Solution

The fourth proportional to 106,696.26, 160,144.83 and 54,143.46 is: 81,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,696.26 : 160,144.83 = 54,143.46 : x
  2. Step 2: Convert to fraction form
    106,696.26/160,144.83 = 54,143.46/x
  3. Step 3: Cross multiply
    106,696.26x = 160,144.83 × 54,143.46
  4. Step 4: Simplify right side
    106,696.26x = 8,670,795,197.31
  5. Step 5: Solve for x
    x = 8,670,795,197.31/106,696.26
  6. Step 6: Final answer
    x = 81,266.16

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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.