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Finding the Fourth Proportional to 142,202.56, 196,222.74 and 78,536.56

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Solution

The fourth proportional to 142,202.56, 196,222.74 and 78,536.56 is: 108,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,202.56 : 196,222.74 = 78,536.56 : x
  2. Step 2: Convert to fraction form
    142,202.56/196,222.74 = 78,536.56/x
  3. Step 3: Cross multiply
    142,202.56x = 196,222.74 × 78,536.56
  4. Step 4: Simplify right side
    142,202.56x = 15,410,658,012.26
  5. Step 5: Solve for x
    x = 15,410,658,012.26/142,202.56
  6. Step 6: Final answer
    x = 108,371.18

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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.