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Finding the Fourth Proportional to 144,750.38, 199,752.64 and 80,218.27

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Solution

The fourth proportional to 144,750.38, 199,752.64 and 80,218.27 is: 110,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,750.38 : 199,752.64 = 80,218.27 : x
  2. Step 2: Convert to fraction form
    144,750.38/199,752.64 = 80,218.27/x
  3. Step 3: Cross multiply
    144,750.38x = 199,752.64 × 80,218.27
  4. Step 4: Simplify right side
    144,750.38x = 16,023,811,208.73
  5. Step 5: Solve for x
    x = 16,023,811,208.73/144,750.38
  6. Step 6: Final answer
    x = 110,699.62

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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.