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Finding the Fourth Proportional to 200,119.20, 276,078.80 and 115,218.24

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Solution

The fourth proportional to 200,119.20, 276,078.80 and 115,218.24 is: 158,951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,119.20 : 276,078.80 = 115,218.24 : x
  2. Step 2: Convert to fraction form
    200,119.20/276,078.80 = 115,218.24/x
  3. Step 3: Cross multiply
    200,119.20x = 276,078.80 × 115,218.24
  4. Step 4: Simplify right side
    200,119.20x = 31,809,313,437.31
  5. Step 5: Solve for x
    x = 31,809,313,437.31/200,119.20
  6. Step 6: Final answer
    x = 158,951.83

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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.