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Finding the Fourth Proportional to 200,224.80, 276,282.96 and 119,635.30

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Solution

The fourth proportional to 200,224.80, 276,282.96 and 119,635.30 is: 165,080.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,224.80 : 276,282.96 = 119,635.30 : x
  2. Step 2: Convert to fraction form
    200,224.80/276,282.96 = 119,635.30/x
  3. Step 3: Cross multiply
    200,224.80x = 276,282.96 × 119,635.30
  4. Step 4: Simplify right side
    200,224.80x = 33,053,194,804.49
  5. Step 5: Solve for x
    x = 33,053,194,804.49/200,224.80
  6. Step 6: Final answer
    x = 165,080.42

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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.