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Finding the Fourth Proportional to 269,021, 371,274.90 and 149,789

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Solution

The fourth proportional to 269,021, 371,274.90 and 149,789 is: 206,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,021 : 371,274.90 = 149,789 : x
  2. Step 2: Convert to fraction form
    269,021/371,274.90 = 149,789/x
  3. Step 3: Cross multiply
    269,021x = 371,274.90 × 149,789
  4. Step 4: Simplify right side
    269,021x = 55,612,895,996.10
  5. Step 5: Solve for x
    x = 55,612,895,996.10/269,021
  6. Step 6: Final answer
    x = 206,723.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.