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Finding the Fourth Proportional to 277,703.39, 416,468.97 and 100,187.33

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Solution

The fourth proportional to 277,703.39, 416,468.97 and 100,187.33 is: 150,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,703.39 : 416,468.97 = 100,187.33 : x
  2. Step 2: Convert to fraction form
    277,703.39/416,468.97 = 100,187.33/x
  3. Step 3: Cross multiply
    277,703.39x = 416,468.97 × 100,187.33
  4. Step 4: Simplify right side
    277,703.39x = 41,724,915,173.32
  5. Step 5: Solve for x
    x = 41,724,915,173.32/277,703.39
  6. Step 6: Final answer
    x = 150,249.93

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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.