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Finding the Fourth Proportional to 144,096.96, 198,849.66 and 80,433.38

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Solution

The fourth proportional to 144,096.96, 198,849.66 and 80,433.38 is: 110,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,096.96 : 198,849.66 = 80,433.38 : x
  2. Step 2: Convert to fraction form
    144,096.96/198,849.66 = 80,433.38/x
  3. Step 3: Cross multiply
    144,096.96x = 198,849.66 × 80,433.38
  4. Step 4: Simplify right side
    144,096.96x = 15,994,150,265.65
  5. Step 5: Solve for x
    x = 15,994,150,265.65/144,096.96
  6. Step 6: Final answer
    x = 110,995.75

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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.