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Finding the Fourth Proportional to 144,797.42, 199,829.77 and 80,269.38

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Solution

The fourth proportional to 144,797.42, 199,829.77 and 80,269.38 is: 110,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,797.42 : 199,829.77 = 80,269.38 : x
  2. Step 2: Convert to fraction form
    144,797.42/199,829.77 = 80,269.38/x
  3. Step 3: Cross multiply
    144,797.42x = 199,829.77 × 80,269.38
  4. Step 4: Simplify right side
    144,797.42x = 16,040,211,542.77
  5. Step 5: Solve for x
    x = 16,040,211,542.77/144,797.42
  6. Step 6: Final answer
    x = 110,776.91

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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.