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Finding the Fourth Proportional to 269,686, 372,166.84 and 150,454

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Solution

The fourth proportional to 269,686, 372,166.84 and 150,454 is: 207,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,686 : 372,166.84 = 150,454 : x
  2. Step 2: Convert to fraction form
    269,686/372,166.84 = 150,454/x
  3. Step 3: Cross multiply
    269,686x = 372,166.84 × 150,454
  4. Step 4: Simplify right side
    269,686x = 55,993,989,745.36
  5. Step 5: Solve for x
    x = 55,993,989,745.36/269,686
  6. Step 6: Final answer
    x = 207,626.61

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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.