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Finding the Fourth Proportional to 189,997.24, 284,938.62 and 63,605.20

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Solution

The fourth proportional to 189,997.24, 284,938.62 and 63,605.20 is: 95,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,997.24 : 284,938.62 = 63,605.20 : x
  2. Step 2: Convert to fraction form
    189,997.24/284,938.62 = 63,605.20/x
  3. Step 3: Cross multiply
    189,997.24x = 284,938.62 × 63,605.20
  4. Step 4: Simplify right side
    189,997.24x = 18,123,577,912.82
  5. Step 5: Solve for x
    x = 18,123,577,912.82/189,997.24
  6. Step 6: Final answer
    x = 95,388.64

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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.