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Finding the Fourth Proportional to 199,814.50, 299,714.85 and 50,056.09

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Solution

The fourth proportional to 199,814.50, 299,714.85 and 50,056.09 is: 75,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,814.50 : 299,714.85 = 50,056.09 : x
  2. Step 2: Convert to fraction form
    199,814.50/299,714.85 = 50,056.09/x
  3. Step 3: Cross multiply
    199,814.50x = 299,714.85 × 50,056.09
  4. Step 4: Simplify right side
    199,814.50x = 15,002,553,505.94
  5. Step 5: Solve for x
    x = 15,002,553,505.94/199,814.50
  6. Step 6: Final answer
    x = 75,082.41

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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.