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Finding the Fourth Proportional to 190,752.78, 263,251.14 and 105,869.84

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Solution

The fourth proportional to 190,752.78, 263,251.14 and 105,869.84 is: 146,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,752.78 : 263,251.14 = 105,869.84 : x
  2. Step 2: Convert to fraction form
    190,752.78/263,251.14 = 105,869.84/x
  3. Step 3: Cross multiply
    190,752.78x = 263,251.14 × 105,869.84
  4. Step 4: Simplify right side
    190,752.78x = 27,870,356,071.62
  5. Step 5: Solve for x
    x = 27,870,356,071.62/190,752.78
  6. Step 6: Final answer
    x = 146,107.21

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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.