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Finding the Fourth Proportional to 277,714.60, 416,485.68 and 100,198.48

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Solution

The fourth proportional to 277,714.60, 416,485.68 and 100,198.48 is: 150,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,714.60 : 416,485.68 = 100,198.48 : x
  2. Step 2: Convert to fraction form
    277,714.60/416,485.68 = 100,198.48/x
  3. Step 3: Cross multiply
    277,714.60x = 416,485.68 × 100,198.48
  4. Step 4: Simplify right side
    277,714.60x = 41,731,232,077.77
  5. Step 5: Solve for x
    x = 41,731,232,077.77/277,714.60
  6. Step 6: Final answer
    x = 150,266.61

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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.