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Finding the Fourth Proportional to 214,589.92, 295,999.36 and 138,208

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Solution

The fourth proportional to 214,589.92, 295,999.36 and 138,208 is: 190,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,589.92 : 295,999.36 = 138,208 : x
  2. Step 2: Convert to fraction form
    214,589.92/295,999.36 = 138,208/x
  3. Step 3: Cross multiply
    214,589.92x = 295,999.36 × 138,208
  4. Step 4: Simplify right side
    214,589.92x = 40,909,479,546.88
  5. Step 5: Solve for x
    x = 40,909,479,546.88/214,589.92
  6. Step 6: Final answer
    x = 190,640.27

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