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Finding the Fourth Proportional to 189,589.97, 284,306.05 and 77,193.97

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Solution

The fourth proportional to 189,589.97, 284,306.05 and 77,193.97 is: 115,758.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,589.97 : 284,306.05 = 77,193.97 : x
  2. Step 2: Convert to fraction form
    189,589.97/284,306.05 = 77,193.97/x
  3. Step 3: Cross multiply
    189,589.97x = 284,306.05 × 77,193.97
  4. Step 4: Simplify right side
    189,589.97x = 21,946,712,694.52
  5. Step 5: Solve for x
    x = 21,946,712,694.52/189,589.97
  6. Step 6: Final answer
    x = 115,758.83

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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.