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Finding the Fourth Proportional to 144,696.62, 199,682.74 and 80,167.23

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Solution

The fourth proportional to 144,696.62, 199,682.74 and 80,167.23 is: 110,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,696.62 : 199,682.74 = 80,167.23 : x
  2. Step 2: Convert to fraction form
    144,696.62/199,682.74 = 80,167.23/x
  3. Step 3: Cross multiply
    144,696.62x = 199,682.74 × 80,167.23
  4. Step 4: Simplify right side
    144,696.62x = 16,008,012,144.61
  5. Step 5: Solve for x
    x = 16,008,012,144.61/144,696.62
  6. Step 6: Final answer
    x = 110,631.56

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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.