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Finding the Fourth Proportional to 194,961.39, 269,046.74 and 105,537.39

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Solution

The fourth proportional to 194,961.39, 269,046.74 and 105,537.39 is: 145,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,961.39 : 269,046.74 = 105,537.39 : x
  2. Step 2: Convert to fraction form
    194,961.39/269,046.74 = 105,537.39/x
  3. Step 3: Cross multiply
    194,961.39x = 269,046.74 × 105,537.39
  4. Step 4: Simplify right side
    194,961.39x = 28,394,490,727.61
  5. Step 5: Solve for x
    x = 28,394,490,727.61/194,961.39
  6. Step 6: Final answer
    x = 145,641.61

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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.