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Finding the Fourth Proportional to 142,183.68, 196,212.40 and 78,520.96

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Solution

The fourth proportional to 142,183.68, 196,212.40 and 78,520.96 is: 108,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,183.68 : 196,212.40 = 78,520.96 : x
  2. Step 2: Convert to fraction form
    142,183.68/196,212.40 = 78,520.96/x
  3. Step 3: Cross multiply
    142,183.68x = 196,212.40 × 78,520.96
  4. Step 4: Simplify right side
    142,183.68x = 15,406,786,011.90
  5. Step 5: Solve for x
    x = 15,406,786,011.90/142,183.68
  6. Step 6: Final answer
    x = 108,358.33

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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.