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Finding the Fourth Proportional to 195,013.38, 269,118.46 and 105,589.38

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Solution

The fourth proportional to 195,013.38, 269,118.46 and 105,589.38 is: 145,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,013.38 : 269,118.46 = 105,589.38 : x
  2. Step 2: Convert to fraction form
    195,013.38/269,118.46 = 105,589.38/x
  3. Step 3: Cross multiply
    195,013.38x = 269,118.46 × 105,589.38
  4. Step 4: Simplify right side
    195,013.38x = 28,416,051,337.95
  5. Step 5: Solve for x
    x = 28,416,051,337.95/195,013.38
  6. Step 6: Final answer
    x = 145,713.34

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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.