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Finding the Fourth Proportional to 100,302.30, 150,511.77 and 41,180.40

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Solution

The fourth proportional to 100,302.30, 150,511.77 and 41,180.40 is: 61,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,302.30 : 150,511.77 = 41,180.40 : x
  2. Step 2: Convert to fraction form
    100,302.30/150,511.77 = 41,180.40/x
  3. Step 3: Cross multiply
    100,302.30x = 150,511.77 × 41,180.40
  4. Step 4: Simplify right side
    100,302.30x = 6,198,134,893.31
  5. Step 5: Solve for x
    x = 6,198,134,893.31/100,302.30
  6. Step 6: Final answer
    x = 61,794.54

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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.