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Finding the Fourth Proportional to 194,462.72, 291,691.90 and 50,367.88

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Solution

The fourth proportional to 194,462.72, 291,691.90 and 50,367.88 is: 75,551.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,462.72 : 291,691.90 = 50,367.88 : x
  2. Step 2: Convert to fraction form
    194,462.72/291,691.90 = 50,367.88/x
  3. Step 3: Cross multiply
    194,462.72x = 291,691.90 × 50,367.88
  4. Step 4: Simplify right side
    194,462.72x = 14,691,902,616.17
  5. Step 5: Solve for x
    x = 14,691,902,616.17/194,462.72
  6. Step 6: Final answer
    x = 75,551.26

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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.