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Finding the Fourth Proportional to 277,294.11, 382,665.87 and 149,969.70

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Solution

The fourth proportional to 277,294.11, 382,665.87 and 149,969.70 is: 206,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,294.11 : 382,665.87 = 149,969.70 : x
  2. Step 2: Convert to fraction form
    277,294.11/382,665.87 = 149,969.70/x
  3. Step 3: Cross multiply
    277,294.11x = 382,665.87 × 149,969.70
  4. Step 4: Simplify right side
    277,294.11x = 57,388,286,596.75
  5. Step 5: Solve for x
    x = 57,388,286,596.75/277,294.11
  6. Step 6: Final answer
    x = 206,958.19

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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.