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Finding the Fourth Proportional to 189,551.91, 284,232.78 and 63,147.71

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Solution

The fourth proportional to 189,551.91, 284,232.78 and 63,147.71 is: 94,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,551.91 : 284,232.78 = 63,147.71 : x
  2. Step 2: Convert to fraction form
    189,551.91/284,232.78 = 63,147.71/x
  3. Step 3: Cross multiply
    189,551.91x = 284,232.78 × 63,147.71
  4. Step 4: Simplify right side
    189,551.91x = 17,948,647,742.77
  5. Step 5: Solve for x
    x = 17,948,647,742.77/189,551.91
  6. Step 6: Final answer
    x = 94,689.88

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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.