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Finding the Fourth Proportional to 277,594.34, 416,305.44 and 100,078.38

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Solution

The fourth proportional to 277,594.34, 416,305.44 and 100,078.38 is: 150,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,594.34 : 416,305.44 = 100,078.38 : x
  2. Step 2: Convert to fraction form
    277,594.34/416,305.44 = 100,078.38/x
  3. Step 3: Cross multiply
    277,594.34x = 416,305.44 × 100,078.38
  4. Step 4: Simplify right side
    277,594.34x = 41,663,174,020.39
  5. Step 5: Solve for x
    x = 41,663,174,020.39/277,594.34
  6. Step 6: Final answer
    x = 150,086.54

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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.