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Finding the Fourth Proportional to 199,814.70, 299,715.13 and 50,056.28

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Solution

The fourth proportional to 199,814.70, 299,715.13 and 50,056.28 is: 75,082.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,814.70 : 299,715.13 = 50,056.28 : x
  2. Step 2: Convert to fraction form
    199,814.70/299,715.13 = 50,056.28/x
  3. Step 3: Cross multiply
    199,814.70x = 299,715.13 × 50,056.28
  4. Step 4: Simplify right side
    199,814.70x = 15,002,624,467.52
  5. Step 5: Solve for x
    x = 15,002,624,467.52/199,814.70
  6. Step 6: Final answer
    x = 75,082.69

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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.