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Finding the Fourth Proportional to 190,752.91, 263,251.31 and 105,869.97

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Solution

The fourth proportional to 190,752.91, 263,251.31 and 105,869.97 is: 146,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,752.91 : 263,251.31 = 105,869.97 : x
  2. Step 2: Convert to fraction form
    190,752.91/263,251.31 = 105,869.97/x
  3. Step 3: Cross multiply
    190,752.91x = 263,251.31 × 105,869.97
  4. Step 4: Simplify right side
    190,752.91x = 27,870,408,292.16
  5. Step 5: Solve for x
    x = 27,870,408,292.16/190,752.91
  6. Step 6: Final answer
    x = 146,107.38

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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.