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Finding the Fourth Proportional to 195,228, 269,414.82 and 105,804

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Solution

The fourth proportional to 195,228, 269,414.82 and 105,804 is: 146,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,228 : 269,414.82 = 105,804 : x
  2. Step 2: Convert to fraction form
    195,228/269,414.82 = 105,804/x
  3. Step 3: Cross multiply
    195,228x = 269,414.82 × 105,804
  4. Step 4: Simplify right side
    195,228x = 28,505,165,615.28
  5. Step 5: Solve for x
    x = 28,505,165,615.28/195,228
  6. Step 6: Final answer
    x = 146,009.62

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