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Finding the Fourth Proportional to 143,224.15, 214,847.16 and 43,392.61

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Solution

The fourth proportional to 143,224.15, 214,847.16 and 43,392.61 is: 65,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,224.15 : 214,847.16 = 43,392.61 : x
  2. Step 2: Convert to fraction form
    143,224.15/214,847.16 = 43,392.61/x
  3. Step 3: Cross multiply
    143,224.15x = 214,847.16 × 43,392.61
  4. Step 4: Simplify right side
    143,224.15x = 9,322,778,269.41
  5. Step 5: Solve for x
    x = 9,322,778,269.41/143,224.15
  6. Step 6: Final answer
    x = 65,092.22

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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.