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Finding the Fourth Proportional to 267,138, 368,650.44 and 147,906

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Solution

The fourth proportional to 267,138, 368,650.44 and 147,906 is: 204,110.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,138 : 368,650.44 = 147,906 : x
  2. Step 2: Convert to fraction form
    267,138/368,650.44 = 147,906/x
  3. Step 3: Cross multiply
    267,138x = 368,650.44 × 147,906
  4. Step 4: Simplify right side
    267,138x = 54,525,611,978.64
  5. Step 5: Solve for x
    x = 54,525,611,978.64/267,138
  6. Step 6: Final answer
    x = 204,110.28

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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.