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Finding the Fourth Proportional to 277,488.37, 382,933.94 and 150,163.97

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Solution

The fourth proportional to 277,488.37, 382,933.94 and 150,163.97 is: 207,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,488.37 : 382,933.94 = 150,163.97 : x
  2. Step 2: Convert to fraction form
    277,488.37/382,933.94 = 150,163.97/x
  3. Step 3: Cross multiply
    277,488.37x = 382,933.94 × 150,163.97
  4. Step 4: Simplify right side
    277,488.37x = 57,502,878,012.65
  5. Step 5: Solve for x
    x = 57,502,878,012.65/277,488.37
  6. Step 6: Final answer
    x = 207,226.27

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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.