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Finding the Fourth Proportional to 195,094.44, 269,231.62 and 105,670.44

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Solution

The fourth proportional to 195,094.44, 269,231.62 and 105,670.44 is: 145,825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,094.44 : 269,231.62 = 105,670.44 : x
  2. Step 2: Convert to fraction form
    195,094.44/269,231.62 = 105,670.44/x
  3. Step 3: Cross multiply
    195,094.44x = 269,231.62 × 105,670.44
  4. Step 4: Simplify right side
    195,094.44x = 28,449,823,747.31
  5. Step 5: Solve for x
    x = 28,449,823,747.31/195,094.44
  6. Step 6: Final answer
    x = 145,825.91

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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.