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Finding the Fourth Proportional to 253,950.34, 380,591.31 and 141,683.43

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Solution

The fourth proportional to 253,950.34, 380,591.31 and 141,683.43 is: 212,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,950.34 : 380,591.31 = 141,683.43 : x
  2. Step 2: Convert to fraction form
    253,950.34/380,591.31 = 141,683.43/x
  3. Step 3: Cross multiply
    253,950.34x = 380,591.31 × 141,683.43
  4. Step 4: Simplify right side
    253,950.34x = 53,923,481,249.73
  5. Step 5: Solve for x
    x = 53,923,481,249.73/253,950.34
  6. Step 6: Final answer
    x = 212,338.69

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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.