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Finding the Fourth Proportional to 144,961.39, 200,048.34 and 80,431.80

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Solution

The fourth proportional to 144,961.39, 200,048.34 and 80,431.80 is: 110,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,961.39 : 200,048.34 = 80,431.80 : x
  2. Step 2: Convert to fraction form
    144,961.39/200,048.34 = 80,431.80/x
  3. Step 3: Cross multiply
    144,961.39x = 200,048.34 × 80,431.80
  4. Step 4: Simplify right side
    144,961.39x = 16,090,248,073.21
  5. Step 5: Solve for x
    x = 16,090,248,073.21/144,961.39
  6. Step 6: Final answer
    x = 110,996.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.