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Finding the Fourth Proportional to 277,418.88, 416,145.60 and 111,185.28

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Solution

The fourth proportional to 277,418.88, 416,145.60 and 111,185.28 is: 166,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,418.88 : 416,145.60 = 111,185.28 : x
  2. Step 2: Convert to fraction form
    277,418.88/416,145.60 = 111,185.28/x
  3. Step 3: Cross multiply
    277,418.88x = 416,145.60 × 111,185.28
  4. Step 4: Simplify right side
    277,418.88x = 46,269,265,056.77
  5. Step 5: Solve for x
    x = 46,269,265,056.77/277,418.88
  6. Step 6: Final answer
    x = 166,784.85

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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.