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Finding the Fourth Proportional to 151,416, 226,951.74 and 92,120.94

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Solution

The fourth proportional to 151,416, 226,951.74 and 92,120.94 is: 138,076.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,416 : 226,951.74 = 92,120.94 : x
  2. Step 2: Convert to fraction form
    151,416/226,951.74 = 92,120.94/x
  3. Step 3: Cross multiply
    151,416x = 226,951.74 × 92,120.94
  4. Step 4: Simplify right side
    151,416x = 20,907,007,623.44
  5. Step 5: Solve for x
    x = 20,907,007,623.44/151,416
  6. Step 6: Final answer
    x = 138,076.61

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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.