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Finding the Fourth Proportional to 197,193.30, 295,352.55 and 162,201.30

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Solution

The fourth proportional to 197,193.30, 295,352.55 and 162,201.30 is: 242,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,193.30 : 295,352.55 = 162,201.30 : x
  2. Step 2: Convert to fraction form
    197,193.30/295,352.55 = 162,201.30/x
  3. Step 3: Cross multiply
    197,193.30x = 295,352.55 × 162,201.30
  4. Step 4: Simplify right side
    197,193.30x = 47,906,567,568.32
  5. Step 5: Solve for x
    x = 47,906,567,568.32/197,193.30
  6. Step 6: Final answer
    x = 242,942.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.