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Finding the Fourth Proportional to 100,915.20, 151,367.31 and 30,789

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Solution

The fourth proportional to 100,915.20, 151,367.31 and 30,789 is: 46,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,915.20 : 151,367.31 = 30,789 : x
  2. Step 2: Convert to fraction form
    100,915.20/151,367.31 = 30,789/x
  3. Step 3: Cross multiply
    100,915.20x = 151,367.31 × 30,789
  4. Step 4: Simplify right side
    100,915.20x = 4,660,448,107.59
  5. Step 5: Solve for x
    x = 4,660,448,107.59/100,915.20
  6. Step 6: Final answer
    x = 46,181.83

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