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Finding the Fourth Proportional to 196,672.20, 295,019.28 and 56,427

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Solution

The fourth proportional to 196,672.20, 295,019.28 and 56,427 is: 84,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,672.20 : 295,019.28 = 56,427 : x
  2. Step 2: Convert to fraction form
    196,672.20/295,019.28 = 56,427/x
  3. Step 3: Cross multiply
    196,672.20x = 295,019.28 × 56,427
  4. Step 4: Simplify right side
    196,672.20x = 16,647,052,912.56
  5. Step 5: Solve for x
    x = 16,647,052,912.56/196,672.20
  6. Step 6: Final answer
    x = 84,643.65

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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.