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Finding the Fourth Proportional to 195,414.96, 269,673.14 and 105,990.96

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Solution

The fourth proportional to 195,414.96, 269,673.14 and 105,990.96 is: 146,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,414.96 : 269,673.14 = 105,990.96 : x
  2. Step 2: Convert to fraction form
    195,414.96/269,673.14 = 105,990.96/x
  3. Step 3: Cross multiply
    195,414.96x = 269,673.14 × 105,990.96
  4. Step 4: Simplify right side
    195,414.96x = 28,582,914,994.81
  5. Step 5: Solve for x
    x = 28,582,914,994.81/195,414.96
  6. Step 6: Final answer
    x = 146,267.79

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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.