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Finding the Fourth Proportional to 267,106, 368,618.44 and 147,874

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Solution

The fourth proportional to 267,106, 368,618.44 and 147,874 is: 204,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,106 : 368,618.44 = 147,874 : x
  2. Step 2: Convert to fraction form
    267,106/368,618.44 = 147,874/x
  3. Step 3: Cross multiply
    267,106x = 368,618.44 × 147,874
  4. Step 4: Simplify right side
    267,106x = 54,509,083,196.56
  5. Step 5: Solve for x
    x = 54,509,083,196.56/267,106
  6. Step 6: Final answer
    x = 204,072.85

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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.