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Finding the Fourth Proportional to 190,078.92, 285,487.43 and 139,961.11

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Solution

The fourth proportional to 190,078.92, 285,487.43 and 139,961.11 is: 210,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,078.92 : 285,487.43 = 139,961.11 : x
  2. Step 2: Convert to fraction form
    190,078.92/285,487.43 = 139,961.11/x
  3. Step 3: Cross multiply
    190,078.92x = 285,487.43 × 139,961.11
  4. Step 4: Simplify right side
    190,078.92x = 39,957,137,593.85
  5. Step 5: Solve for x
    x = 39,957,137,593.85/190,078.92
  6. Step 6: Final answer
    x = 210,213.41

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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.