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Finding the Fourth Proportional to 200,262.06, 276,361.68 and 109,618.44

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Solution

The fourth proportional to 200,262.06, 276,361.68 and 109,618.44 is: 151,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,262.06 : 276,361.68 = 109,618.44 : x
  2. Step 2: Convert to fraction form
    200,262.06/276,361.68 = 109,618.44/x
  3. Step 3: Cross multiply
    200,262.06x = 276,361.68 × 109,618.44
  4. Step 4: Simplify right side
    200,262.06x = 30,294,336,237.38
  5. Step 5: Solve for x
    x = 30,294,336,237.38/200,262.06
  6. Step 6: Final answer
    x = 151,273.47

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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.