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Finding the Fourth Proportional to 142,034.41, 196,007.34 and 78,372.22

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Solution

The fourth proportional to 142,034.41, 196,007.34 and 78,372.22 is: 108,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,034.41 : 196,007.34 = 78,372.22 : x
  2. Step 2: Convert to fraction form
    142,034.41/196,007.34 = 78,372.22/x
  3. Step 3: Cross multiply
    142,034.41x = 196,007.34 × 78,372.22
  4. Step 4: Simplify right side
    142,034.41x = 15,361,530,372.09
  5. Step 5: Solve for x
    x = 15,361,530,372.09/142,034.41
  6. Step 6: Final answer
    x = 108,153.58

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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.