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Finding the Fourth Proportional to 200,730.80, 276,969.24 and 119,043.92

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Solution

The fourth proportional to 200,730.80, 276,969.24 and 119,043.92 is: 164,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,730.80 : 276,969.24 = 119,043.92 : x
  2. Step 2: Convert to fraction form
    200,730.80/276,969.24 = 119,043.92/x
  3. Step 3: Cross multiply
    200,730.80x = 276,969.24 × 119,043.92
  4. Step 4: Simplify right side
    200,730.80x = 32,971,504,049.02
  5. Step 5: Solve for x
    x = 32,971,504,049.02/200,730.80
  6. Step 6: Final answer
    x = 164,257.32

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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.