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Finding the Fourth Proportional to 262,825.53, 394,329.73 and 82,938.70

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Solution

The fourth proportional to 262,825.53, 394,329.73 and 82,938.70 is: 124,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,825.53 : 394,329.73 = 82,938.70 : x
  2. Step 2: Convert to fraction form
    262,825.53/394,329.73 = 82,938.70/x
  3. Step 3: Cross multiply
    262,825.53x = 394,329.73 × 82,938.70
  4. Step 4: Simplify right side
    262,825.53x = 32,705,195,177.55
  5. Step 5: Solve for x
    x = 32,705,195,177.55/262,825.53
  6. Step 6: Final answer
    x = 124,436.90

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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.