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Finding the Fourth Proportional to 200,532.56, 276,726.72 and 119,912.56

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Solution

The fourth proportional to 200,532.56, 276,726.72 and 119,912.56 is: 165,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,532.56 : 276,726.72 = 119,912.56 : x
  2. Step 2: Convert to fraction form
    200,532.56/276,726.72 = 119,912.56/x
  3. Step 3: Cross multiply
    200,532.56x = 276,726.72 × 119,912.56
  4. Step 4: Simplify right side
    200,532.56x = 33,183,009,415.60
  5. Step 5: Solve for x
    x = 33,183,009,415.60/200,532.56
  6. Step 6: Final answer
    x = 165,474.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.