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Finding the Fourth Proportional to 190,622.96, 285,936.49 and 57,504.37

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Solution

The fourth proportional to 190,622.96, 285,936.49 and 57,504.37 is: 86,257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,622.96 : 285,936.49 = 57,504.37 : x
  2. Step 2: Convert to fraction form
    190,622.96/285,936.49 = 57,504.37/x
  3. Step 3: Cross multiply
    190,622.96x = 285,936.49 × 57,504.37
  4. Step 4: Simplify right side
    190,622.96x = 16,442,597,861.22
  5. Step 5: Solve for x
    x = 16,442,597,861.22/190,622.96
  6. Step 6: Final answer
    x = 86,257.18

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Why These Related Problems?

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