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Finding the Fourth Proportional to 214,245.14, 295,649.80 and 117,446.90

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Solution

The fourth proportional to 214,245.14, 295,649.80 and 117,446.90 is: 162,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,245.14 : 295,649.80 = 117,446.90 : x
  2. Step 2: Convert to fraction form
    214,245.14/295,649.80 = 117,446.90/x
  3. Step 3: Cross multiply
    214,245.14x = 295,649.80 × 117,446.90
  4. Step 4: Simplify right side
    214,245.14x = 34,723,150,723.75
  5. Step 5: Solve for x
    x = 34,723,150,723.75/214,245.14
  6. Step 6: Final answer
    x = 162,072.06

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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.