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Finding the Fourth Proportional to 142,202.31, 196,222.39 and 78,536.31

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Solution

The fourth proportional to 142,202.31, 196,222.39 and 78,536.31 is: 108,370.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,202.31 : 196,222.39 = 78,536.31 : x
  2. Step 2: Convert to fraction form
    142,202.31/196,222.39 = 78,536.31/x
  3. Step 3: Cross multiply
    142,202.31x = 196,222.39 × 78,536.31
  4. Step 4: Simplify right side
    142,202.31x = 15,410,582,449.98
  5. Step 5: Solve for x
    x = 15,410,582,449.98/142,202.31
  6. Step 6: Final answer
    x = 108,370.83

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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.