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Finding the Fourth Proportional to 197,696.50, 295,800.75 and 138,647.38

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Solution

The fourth proportional to 197,696.50, 295,800.75 and 138,647.38 is: 207,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,696.50 : 295,800.75 = 138,647.38 : x
  2. Step 2: Convert to fraction form
    197,696.50/295,800.75 = 138,647.38/x
  3. Step 3: Cross multiply
    197,696.50x = 295,800.75 × 138,647.38
  4. Step 4: Simplify right side
    197,696.50x = 41,011,998,989.54
  5. Step 5: Solve for x
    x = 41,011,998,989.54/197,696.50
  6. Step 6: Final answer
    x = 207,449.29

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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.