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Finding the Fourth Proportional to 142,144.90, 196,163.02 and 78,486.72

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Solution

The fourth proportional to 142,144.90, 196,163.02 and 78,486.72 is: 108,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,144.90 : 196,163.02 = 78,486.72 : x
  2. Step 2: Convert to fraction form
    142,144.90/196,163.02 = 78,486.72/x
  3. Step 3: Cross multiply
    142,144.90x = 196,163.02 × 78,486.72
  4. Step 4: Simplify right side
    142,144.90x = 15,396,192,025.09
  5. Step 5: Solve for x
    x = 15,396,192,025.09/142,144.90
  6. Step 6: Final answer
    x = 108,313.36

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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.