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Finding the Fourth Proportional to 189,722.24, 284,522.24 and 105,522.56

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Solution

The fourth proportional to 189,722.24, 284,522.24 and 105,522.56 is: 158,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,722.24 : 284,522.24 = 105,522.56 : x
  2. Step 2: Convert to fraction form
    189,722.24/284,522.24 = 105,522.56/x
  3. Step 3: Cross multiply
    189,722.24x = 284,522.24 × 105,522.56
  4. Step 4: Simplify right side
    189,722.24x = 30,023,515,141.73
  5. Step 5: Solve for x
    x = 30,023,515,141.73/189,722.24
  6. Step 6: Final answer
    x = 158,249.85

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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.