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Finding the Fourth Proportional to 190,832.94, 263,357.66 and 105,950

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Solution

The fourth proportional to 190,832.94, 263,357.66 and 105,950 is: 146,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,832.94 : 263,357.66 = 105,950 : x
  2. Step 2: Convert to fraction form
    190,832.94/263,357.66 = 105,950/x
  3. Step 3: Cross multiply
    190,832.94x = 263,357.66 × 105,950
  4. Step 4: Simplify right side
    190,832.94x = 27,902,744,077.00
  5. Step 5: Solve for x
    x = 27,902,744,077.00/190,832.94
  6. Step 6: Final answer
    x = 146,215.55

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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.