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Finding the Fourth Proportional to 214,249.38, 295,659.36 and 118,755.24

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Solution

The fourth proportional to 214,249.38, 295,659.36 and 118,755.24 is: 163,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,249.38 : 295,659.36 = 118,755.24 : x
  2. Step 2: Convert to fraction form
    214,249.38/295,659.36 = 118,755.24/x
  3. Step 3: Cross multiply
    214,249.38x = 295,659.36 × 118,755.24
  4. Step 4: Simplify right side
    214,249.38x = 35,111,098,255.05
  5. Step 5: Solve for x
    x = 35,111,098,255.05/214,249.38
  6. Step 6: Final answer
    x = 163,879.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.