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Finding the Fourth Proportional to 142,313.50, 196,375.62 and 78,642.64

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Solution

The fourth proportional to 142,313.50, 196,375.62 and 78,642.64 is: 108,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,313.50 : 196,375.62 = 78,642.64 : x
  2. Step 2: Convert to fraction form
    142,313.50/196,375.62 = 78,642.64/x
  3. Step 3: Cross multiply
    142,313.50x = 196,375.62 × 78,642.64
  4. Step 4: Simplify right side
    142,313.50x = 15,443,497,188.44
  5. Step 5: Solve for x
    x = 15,443,497,188.44/142,313.50
  6. Step 6: Final answer
    x = 108,517.44

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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.