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Finding the Fourth Proportional to 148,006, 204,248.28 and 80,938

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Solution

The fourth proportional to 148,006, 204,248.28 and 80,938 is: 111,694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,006 : 204,248.28 = 80,938 : x
  2. Step 2: Convert to fraction form
    148,006/204,248.28 = 80,938/x
  3. Step 3: Cross multiply
    148,006x = 204,248.28 × 80,938
  4. Step 4: Simplify right side
    148,006x = 16,531,447,286.64
  5. Step 5: Solve for x
    x = 16,531,447,286.64/148,006
  6. Step 6: Final answer
    x = 111,694.44

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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.