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Finding the Fourth Proportional to 190,881.32, 263,414.78 and 105,998.68

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Solution

The fourth proportional to 190,881.32, 263,414.78 and 105,998.68 is: 146,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,881.32 : 263,414.78 = 105,998.68 : x
  2. Step 2: Convert to fraction form
    190,881.32/263,414.78 = 105,998.68/x
  3. Step 3: Cross multiply
    190,881.32x = 263,414.78 × 105,998.68
  4. Step 4: Simplify right side
    190,881.32x = 27,921,618,972.49
  5. Step 5: Solve for x
    x = 27,921,618,972.49/190,881.32
  6. Step 6: Final answer
    x = 146,277.38

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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.