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Finding the Fourth Proportional to 192,899.84, 266,198.90 and 106,858.56

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Solution

The fourth proportional to 192,899.84, 266,198.90 and 106,858.56 is: 147,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,899.84 : 266,198.90 = 106,858.56 : x
  2. Step 2: Convert to fraction form
    192,899.84/266,198.90 = 106,858.56/x
  3. Step 3: Cross multiply
    192,899.84x = 266,198.90 × 106,858.56
  4. Step 4: Simplify right side
    192,899.84x = 28,445,631,394.73
  5. Step 5: Solve for x
    x = 28,445,631,394.73/192,899.84
  6. Step 6: Final answer
    x = 147,463.22

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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.