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Finding the Fourth Proportional to 190,163.34, 285,233.49 and 49,918.86

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Solution

The fourth proportional to 190,163.34, 285,233.49 and 49,918.86 is: 74,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,163.34 : 285,233.49 = 49,918.86 : x
  2. Step 2: Convert to fraction form
    190,163.34/285,233.49 = 49,918.86/x
  3. Step 3: Cross multiply
    190,163.34x = 285,233.49 × 49,918.86
  4. Step 4: Simplify right side
    190,163.34x = 14,238,530,654.62
  5. Step 5: Solve for x
    x = 14,238,530,654.62/190,163.34
  6. Step 6: Final answer
    x = 74,875.27

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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.