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Finding the Fourth Proportional to 142,375.96, 196,446.24 and 85,004.14

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Solution

The fourth proportional to 142,375.96, 196,446.24 and 85,004.14 is: 117,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,375.96 : 196,446.24 = 85,004.14 : x
  2. Step 2: Convert to fraction form
    142,375.96/196,446.24 = 85,004.14/x
  3. Step 3: Cross multiply
    142,375.96x = 196,446.24 × 85,004.14
  4. Step 4: Simplify right side
    142,375.96x = 16,698,743,687.43
  5. Step 5: Solve for x
    x = 16,698,743,687.43/142,375.96
  6. Step 6: Final answer
    x = 117,286.26

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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.