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Finding the Fourth Proportional to 189,761.78, 284,689.37 and 133,711.31

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Solution

The fourth proportional to 189,761.78, 284,689.37 and 133,711.31 is: 200,599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,761.78 : 284,689.37 = 133,711.31 : x
  2. Step 2: Convert to fraction form
    189,761.78/284,689.37 = 133,711.31/x
  3. Step 3: Cross multiply
    189,761.78x = 284,689.37 × 133,711.31
  4. Step 4: Simplify right side
    189,761.78x = 38,066,189,651.78
  5. Step 5: Solve for x
    x = 38,066,189,651.78/189,761.78
  6. Step 6: Final answer
    x = 200,599.87

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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.