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Finding the Fourth Proportional to 144,651.32, 199,639.78 and 80,993.22

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Solution

The fourth proportional to 144,651.32, 199,639.78 and 80,993.22 is: 111,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,651.32 : 199,639.78 = 80,993.22 : x
  2. Step 2: Convert to fraction form
    144,651.32/199,639.78 = 80,993.22/x
  3. Step 3: Cross multiply
    144,651.32x = 199,639.78 × 80,993.22
  4. Step 4: Simplify right side
    144,651.32x = 16,169,468,622.29
  5. Step 5: Solve for x
    x = 16,169,468,622.29/144,651.32
  6. Step 6: Final answer
    x = 111,782.38

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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.