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Finding the Fourth Proportional to 194,938.25, 269,015.60 and 105,514.25

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Solution

The fourth proportional to 194,938.25, 269,015.60 and 105,514.25 is: 145,610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,938.25 : 269,015.60 = 105,514.25 : x
  2. Step 2: Convert to fraction form
    194,938.25/269,015.60 = 105,514.25/x
  3. Step 3: Cross multiply
    194,938.25x = 269,015.60 × 105,514.25
  4. Step 4: Simplify right side
    194,938.25x = 28,384,978,744.73
  5. Step 5: Solve for x
    x = 28,384,978,744.73/194,938.25
  6. Step 6: Final answer
    x = 145,610.10

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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.