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Finding the Fourth Proportional to 200,048.33, 276,057.87 and 114,025.97

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Solution

The fourth proportional to 200,048.33, 276,057.87 and 114,025.97 is: 157,350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,048.33 : 276,057.87 = 114,025.97 : x
  2. Step 2: Convert to fraction form
    200,048.33/276,057.87 = 114,025.97/x
  3. Step 3: Cross multiply
    200,048.33x = 276,057.87 × 114,025.97
  4. Step 4: Simplify right side
    200,048.33x = 31,477,766,402.88
  5. Step 5: Solve for x
    x = 31,477,766,402.88/200,048.33
  6. Step 6: Final answer
    x = 157,350.81

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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.