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Finding the Fourth Proportional to 277,827.89, 416,494.32 and 100,295.39

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Solution

The fourth proportional to 277,827.89, 416,494.32 and 100,295.39 is: 150,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,827.89 : 416,494.32 = 100,295.39 : x
  2. Step 2: Convert to fraction form
    277,827.89/416,494.32 = 100,295.39/x
  3. Step 3: Cross multiply
    277,827.89x = 416,494.32 × 100,295.39
  4. Step 4: Simplify right side
    277,827.89x = 41,772,458,174.71
  5. Step 5: Solve for x
    x = 41,772,458,174.71/277,827.89
  6. Step 6: Final answer
    x = 150,353.73

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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.