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Finding the Fourth Proportional to 144,762.84, 199,767.87 and 80,229.33

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Solution

The fourth proportional to 144,762.84, 199,767.87 and 80,229.33 is: 110,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,762.84 : 199,767.87 = 80,229.33 : x
  2. Step 2: Convert to fraction form
    144,762.84/199,767.87 = 80,229.33/x
  3. Step 3: Cross multiply
    144,762.84x = 199,767.87 × 80,229.33
  4. Step 4: Simplify right side
    144,762.84x = 16,027,242,365.63
  5. Step 5: Solve for x
    x = 16,027,242,365.63/144,762.84
  6. Step 6: Final answer
    x = 110,713.79

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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.