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Finding the Fourth Proportional to 185,940.12, 256,540.38 and 105,354.84

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Solution

The fourth proportional to 185,940.12, 256,540.38 and 105,354.84 is: 145,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,940.12 : 256,540.38 = 105,354.84 : x
  2. Step 2: Convert to fraction form
    185,940.12/256,540.38 = 105,354.84/x
  3. Step 3: Cross multiply
    185,940.12x = 256,540.38 × 105,354.84
  4. Step 4: Simplify right side
    185,940.12x = 27,027,770,688.44
  5. Step 5: Solve for x
    x = 27,027,770,688.44/185,940.12
  6. Step 6: Final answer
    x = 145,357.39

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Why These Related Problems?

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