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Finding the Fourth Proportional to 189,024.88, 283,589.86 and 82,418.15

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Solution

The fourth proportional to 189,024.88, 283,589.86 and 82,418.15 is: 123,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,024.88 : 283,589.86 = 82,418.15 : x
  2. Step 2: Convert to fraction form
    189,024.88/283,589.86 = 82,418.15/x
  3. Step 3: Cross multiply
    189,024.88x = 283,589.86 × 82,418.15
  4. Step 4: Simplify right side
    189,024.88x = 23,372,951,619.96
  5. Step 5: Solve for x
    x = 23,372,951,619.96/189,024.88
  6. Step 6: Final answer
    x = 123,650.13

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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.