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Finding the Fourth Proportional to 269,638, 372,100.44 and 150,406

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Solution

The fourth proportional to 269,638, 372,100.44 and 150,406 is: 207,560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,638 : 372,100.44 = 150,406 : x
  2. Step 2: Convert to fraction form
    269,638/372,100.44 = 150,406/x
  3. Step 3: Cross multiply
    269,638x = 372,100.44 × 150,406
  4. Step 4: Simplify right side
    269,638x = 55,966,138,778.64
  5. Step 5: Solve for x
    x = 55,966,138,778.64/269,638
  6. Step 6: Final answer
    x = 207,560.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.