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Finding the Fourth Proportional to 144,993.96, 200,078.22 and 81,319.44

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Solution

The fourth proportional to 144,993.96, 200,078.22 and 81,319.44 is: 112,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,993.96 : 200,078.22 = 81,319.44 : x
  2. Step 2: Convert to fraction form
    144,993.96/200,078.22 = 81,319.44/x
  3. Step 3: Cross multiply
    144,993.96x = 200,078.22 × 81,319.44
  4. Step 4: Simplify right side
    144,993.96x = 16,270,248,806.60
  5. Step 5: Solve for x
    x = 16,270,248,806.60/144,993.96
  6. Step 6: Final answer
    x = 112,213.29

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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.