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Finding the Fourth Proportional to 277,858.98, 416,806.83 and 109,366.02

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Solution

The fourth proportional to 277,858.98, 416,806.83 and 109,366.02 is: 164,056.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,858.98 : 416,806.83 = 109,366.02 : x
  2. Step 2: Convert to fraction form
    277,858.98/416,806.83 = 109,366.02/x
  3. Step 3: Cross multiply
    277,858.98x = 416,806.83 × 109,366.02
  4. Step 4: Simplify right side
    277,858.98x = 45,584,504,105.92
  5. Step 5: Solve for x
    x = 45,584,504,105.92/277,858.98
  6. Step 6: Final answer
    x = 164,056.26

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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.