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Finding the Fourth Proportional to 277,279.59, 382,645.98 and 149,955.21

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Solution

The fourth proportional to 277,279.59, 382,645.98 and 149,955.21 is: 206,938.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,279.59 : 382,645.98 = 149,955.21 : x
  2. Step 2: Convert to fraction form
    277,279.59/382,645.98 = 149,955.21/x
  3. Step 3: Cross multiply
    277,279.59x = 382,645.98 × 149,955.21
  4. Step 4: Simplify right side
    277,279.59x = 57,379,758,286.56
  5. Step 5: Solve for x
    x = 57,379,758,286.56/277,279.59
  6. Step 6: Final answer
    x = 206,938.27

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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.