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Finding the Fourth Proportional to 277,383.65, 416,087.34 and 108,940.49

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Solution

The fourth proportional to 277,383.65, 416,087.34 and 108,940.49 is: 163,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,383.65 : 416,087.34 = 108,940.49 : x
  2. Step 2: Convert to fraction form
    277,383.65/416,087.34 = 108,940.49/x
  3. Step 3: Cross multiply
    277,383.65x = 416,087.34 × 108,940.49
  4. Step 4: Simplify right side
    277,383.65x = 45,328,758,702.40
  5. Step 5: Solve for x
    x = 45,328,758,702.40/277,383.65
  6. Step 6: Final answer
    x = 163,415.39

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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.