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Finding the Fourth Proportional to 253,576, 349,945.82 and 140,398.75

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Solution

The fourth proportional to 253,576, 349,945.82 and 140,398.75 is: 193,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,576 : 349,945.82 = 140,398.75 : x
  2. Step 2: Convert to fraction form
    253,576/349,945.82 = 140,398.75/x
  3. Step 3: Cross multiply
    253,576x = 349,945.82 × 140,398.75
  4. Step 4: Simplify right side
    253,576x = 49,131,954,993.73
  5. Step 5: Solve for x
    x = 49,131,954,993.73/253,576
  6. Step 6: Final answer
    x = 193,756.33

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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.