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Finding the Fourth Proportional to 277,295.99, 382,668.46 and 149,971.58

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Solution

The fourth proportional to 277,295.99, 382,668.46 and 149,971.58 is: 206,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,295.99 : 382,668.46 = 149,971.58 : x
  2. Step 2: Convert to fraction form
    277,295.99/382,668.46 = 149,971.58/x
  3. Step 3: Cross multiply
    277,295.99x = 382,668.46 × 149,971.58
  4. Step 4: Simplify right side
    277,295.99x = 57,389,393,562.37
  5. Step 5: Solve for x
    x = 57,389,393,562.37/277,295.99
  6. Step 6: Final answer
    x = 206,960.78

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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.