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Finding the Fourth Proportional to 142,865.68, 197,163.24 and 79,206.16

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Solution

The fourth proportional to 142,865.68, 197,163.24 and 79,206.16 is: 109,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,865.68 : 197,163.24 = 79,206.16 : x
  2. Step 2: Convert to fraction form
    142,865.68/197,163.24 = 79,206.16/x
  3. Step 3: Cross multiply
    142,865.68x = 197,163.24 × 79,206.16
  4. Step 4: Simplify right side
    142,865.68x = 15,616,543,133.56
  5. Step 5: Solve for x
    x = 15,616,543,133.56/142,865.68
  6. Step 6: Final answer
    x = 109,309.27

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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.