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Finding the Fourth Proportional to 205,704.31, 283,932.30 and 119,683.53

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Solution

The fourth proportional to 205,704.31, 283,932.30 and 119,683.53 is: 165,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,704.31 : 283,932.30 = 119,683.53 : x
  2. Step 2: Convert to fraction form
    205,704.31/283,932.30 = 119,683.53/x
  3. Step 3: Cross multiply
    205,704.31x = 283,932.30 × 119,683.53
  4. Step 4: Simplify right side
    205,704.31x = 33,982,017,926.94
  5. Step 5: Solve for x
    x = 33,982,017,926.94/205,704.31
  6. Step 6: Final answer
    x = 165,198.38

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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.