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Finding the Fourth Proportional to 277,933, 416,922.54 and 80,941

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Solution

The fourth proportional to 277,933, 416,922.54 and 80,941 is: 121,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,933 : 416,922.54 = 80,941 : x
  2. Step 2: Convert to fraction form
    277,933/416,922.54 = 80,941/x
  3. Step 3: Cross multiply
    277,933x = 416,922.54 × 80,941
  4. Step 4: Simplify right side
    277,933x = 33,746,127,310.14
  5. Step 5: Solve for x
    x = 33,746,127,310.14/277,933
  6. Step 6: Final answer
    x = 121,418.21

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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.