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Finding the Fourth Proportional to 190,842.96, 263,371.50 and 105,960

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Solution

The fourth proportional to 190,842.96, 263,371.50 and 105,960 is: 146,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,842.96 : 263,371.50 = 105,960 : x
  2. Step 2: Convert to fraction form
    190,842.96/263,371.50 = 105,960/x
  3. Step 3: Cross multiply
    190,842.96x = 263,371.50 × 105,960
  4. Step 4: Simplify right side
    190,842.96x = 27,906,844,140
  5. Step 5: Solve for x
    x = 27,906,844,140/190,842.96
  6. Step 6: Final answer
    x = 146,229.36

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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.