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Finding the Fourth Proportional to 283,119.36, 424,675.80 and 114,593.82

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Solution

The fourth proportional to 283,119.36, 424,675.80 and 114,593.82 is: 171,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,119.36 : 424,675.80 = 114,593.82 : x
  2. Step 2: Convert to fraction form
    283,119.36/424,675.80 = 114,593.82/x
  3. Step 3: Cross multiply
    283,119.36x = 424,675.80 × 114,593.82
  4. Step 4: Simplify right side
    283,119.36x = 48,665,222,183.56
  5. Step 5: Solve for x
    x = 48,665,222,183.56/283,119.36
  6. Step 6: Final answer
    x = 171,889.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.