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Finding the Fourth Proportional to 144,611.46, 199,561.86 and 80,949.24

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Solution

The fourth proportional to 144,611.46, 199,561.86 and 80,949.24 is: 111,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,611.46 : 199,561.86 = 80,949.24 : x
  2. Step 2: Convert to fraction form
    144,611.46/199,561.86 = 80,949.24/x
  3. Step 3: Cross multiply
    144,611.46x = 199,561.86 × 80,949.24
  4. Step 4: Simplify right side
    144,611.46x = 16,154,380,899.99
  5. Step 5: Solve for x
    x = 16,154,380,899.99/144,611.46
  6. Step 6: Final answer
    x = 111,708.86

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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.