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Finding the Fourth Proportional to 189,589.38, 261,647.13 and 109,042.17

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Solution

The fourth proportional to 189,589.38, 261,647.13 and 109,042.17 is: 150,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,589.38 : 261,647.13 = 109,042.17 : x
  2. Step 2: Convert to fraction form
    189,589.38/261,647.13 = 109,042.17/x
  3. Step 3: Cross multiply
    189,589.38x = 261,647.13 × 109,042.17
  4. Step 4: Simplify right side
    189,589.38x = 28,530,570,829.47
  5. Step 5: Solve for x
    x = 28,530,570,829.47/189,589.38
  6. Step 6: Final answer
    x = 150,486.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.