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Finding the Fourth Proportional to 277,306.94, 382,683.59 and 149,982.54

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Solution

The fourth proportional to 277,306.94, 382,683.59 and 149,982.54 is: 206,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,306.94 : 382,683.59 = 149,982.54 : x
  2. Step 2: Convert to fraction form
    277,306.94/382,683.59 = 149,982.54/x
  3. Step 3: Cross multiply
    277,306.94x = 382,683.59 × 149,982.54
  4. Step 4: Simplify right side
    277,306.94x = 57,395,855,221.98
  5. Step 5: Solve for x
    x = 57,395,855,221.98/277,306.94
  6. Step 6: Final answer
    x = 206,975.90

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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.