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Finding the Fourth Proportional to 194,932, 269,006.97 and 105,508

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Solution

The fourth proportional to 194,932, 269,006.97 and 105,508 is: 145,601.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,932 : 269,006.97 = 105,508 : x
  2. Step 2: Convert to fraction form
    194,932/269,006.97 = 105,508/x
  3. Step 3: Cross multiply
    194,932x = 269,006.97 × 105,508
  4. Step 4: Simplify right side
    194,932x = 28,382,387,390.76
  5. Step 5: Solve for x
    x = 28,382,387,390.76/194,932
  6. Step 6: Final answer
    x = 145,601.48

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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.