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Finding the Fourth Proportional to 277,408.88, 382,825.14 and 150,085.52

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Solution

The fourth proportional to 277,408.88, 382,825.14 and 150,085.52 is: 207,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,408.88 : 382,825.14 = 150,085.52 : x
  2. Step 2: Convert to fraction form
    277,408.88/382,825.14 = 150,085.52/x
  3. Step 3: Cross multiply
    277,408.88x = 382,825.14 × 150,085.52
  4. Step 4: Simplify right side
    277,408.88x = 57,456,510,205.97
  5. Step 5: Solve for x
    x = 57,456,510,205.97/277,408.88
  6. Step 6: Final answer
    x = 207,118.50

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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.