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Finding the Fourth Proportional to 100,173.24, 150,264.72 and 82,611

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Solution

The fourth proportional to 100,173.24, 150,264.72 and 82,611 is: 123,920.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,173.24 : 150,264.72 = 82,611 : x
  2. Step 2: Convert to fraction form
    100,173.24/150,264.72 = 82,611/x
  3. Step 3: Cross multiply
    100,173.24x = 150,264.72 × 82,611
  4. Step 4: Simplify right side
    100,173.24x = 12,413,518,783.92
  5. Step 5: Solve for x
    x = 12,413,518,783.92/100,173.24
  6. Step 6: Final answer
    x = 123,920.51

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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.