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Finding the Fourth Proportional to 142,202.06, 196,222.05 and 78,536.06

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Solution

The fourth proportional to 142,202.06, 196,222.05 and 78,536.06 is: 108,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,202.06 : 196,222.05 = 78,536.06 : x
  2. Step 2: Convert to fraction form
    142,202.06/196,222.05 = 78,536.06/x
  3. Step 3: Cross multiply
    142,202.06x = 196,222.05 × 78,536.06
  4. Step 4: Simplify right side
    142,202.06x = 15,410,505,711.01
  5. Step 5: Solve for x
    x = 15,410,505,711.01/142,202.06
  6. Step 6: Final answer
    x = 108,370.49

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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.