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Finding the Fourth Proportional to 277,825.20, 416,932.20 and 120,166.80

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Solution

The fourth proportional to 277,825.20, 416,932.20 and 120,166.80 is: 180,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,825.20 : 416,932.20 = 120,166.80 : x
  2. Step 2: Convert to fraction form
    277,825.20/416,932.20 = 120,166.80/x
  3. Step 3: Cross multiply
    277,825.20x = 416,932.20 × 120,166.80
  4. Step 4: Simplify right side
    277,825.20x = 50,101,408,290.96
  5. Step 5: Solve for x
    x = 50,101,408,290.96/277,825.20
  6. Step 6: Final answer
    x = 180,334.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.