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Finding the Fourth Proportional to 190,436.28, 285,694.44 and 72,105

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Solution

The fourth proportional to 190,436.28, 285,694.44 and 72,105 is: 108,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,436.28 : 285,694.44 = 72,105 : x
  2. Step 2: Convert to fraction form
    190,436.28/285,694.44 = 72,105/x
  3. Step 3: Cross multiply
    190,436.28x = 285,694.44 × 72,105
  4. Step 4: Simplify right side
    190,436.28x = 20,599,997,596.20
  5. Step 5: Solve for x
    x = 20,599,997,596.20/190,436.28
  6. Step 6: Final answer
    x = 108,172.65

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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.