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Finding the Fourth Proportional to 190,696.52, 285,990.24 and 76,844

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Solution

The fourth proportional to 190,696.52, 285,990.24 and 76,844 is: 115,244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,696.52 : 285,990.24 = 76,844 : x
  2. Step 2: Convert to fraction form
    190,696.52/285,990.24 = 76,844/x
  3. Step 3: Cross multiply
    190,696.52x = 285,990.24 × 76,844
  4. Step 4: Simplify right side
    190,696.52x = 21,976,634,002.56
  5. Step 5: Solve for x
    x = 21,976,634,002.56/190,696.52
  6. Step 6: Final answer
    x = 115,244.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.