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Finding the Fourth Proportional to 140,640.75, 194,080.38 and 80,210.02

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Solution

The fourth proportional to 140,640.75, 194,080.38 and 80,210.02 is: 110,687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,640.75 : 194,080.38 = 80,210.02 : x
  2. Step 2: Convert to fraction form
    140,640.75/194,080.38 = 80,210.02/x
  3. Step 3: Cross multiply
    140,640.75x = 194,080.38 × 80,210.02
  4. Step 4: Simplify right side
    140,640.75x = 15,567,191,161.41
  5. Step 5: Solve for x
    x = 15,567,191,161.41/140,640.75
  6. Step 6: Final answer
    x = 110,687.63

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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.