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Finding the Fourth Proportional to 144,092.58, 198,847.26 and 80,429.82

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Solution

The fourth proportional to 144,092.58, 198,847.26 and 80,429.82 is: 110,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,092.58 : 198,847.26 = 80,429.82 : x
  2. Step 2: Convert to fraction form
    144,092.58/198,847.26 = 80,429.82/x
  3. Step 3: Cross multiply
    144,092.58x = 198,847.26 × 80,429.82
  4. Step 4: Simplify right side
    144,092.58x = 15,993,249,329.29
  5. Step 5: Solve for x
    x = 15,993,249,329.29/144,092.58
  6. Step 6: Final answer
    x = 110,992.87

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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.