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Finding the Fourth Proportional to 207,614.10, 311,305.95 and 82,814.10

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Solution

The fourth proportional to 207,614.10, 311,305.95 and 82,814.10 is: 124,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,614.10 : 311,305.95 = 82,814.10 : x
  2. Step 2: Convert to fraction form
    207,614.10/311,305.95 = 82,814.10/x
  3. Step 3: Cross multiply
    207,614.10x = 311,305.95 × 82,814.10
  4. Step 4: Simplify right side
    207,614.10x = 25,780,522,073.90
  5. Step 5: Solve for x
    x = 25,780,522,073.90/207,614.10
  6. Step 6: Final answer
    x = 124,175.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.