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Finding the Fourth Proportional to 185,682.94, 256,245.57 and 100,800

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Solution

The fourth proportional to 185,682.94, 256,245.57 and 100,800 is: 139,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,682.94 : 256,245.57 = 100,800 : x
  2. Step 2: Convert to fraction form
    185,682.94/256,245.57 = 100,800/x
  3. Step 3: Cross multiply
    185,682.94x = 256,245.57 × 100,800
  4. Step 4: Simplify right side
    185,682.94x = 25,829,553,456
  5. Step 5: Solve for x
    x = 25,829,553,456/185,682.94
  6. Step 6: Final answer
    x = 139,105.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.