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Finding the Fourth Proportional to 100,827.17, 150,825.22 and 82,855.50

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Solution

The fourth proportional to 100,827.17, 150,825.22 and 82,855.50 is: 123,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,827.17 : 150,825.22 = 82,855.50 : x
  2. Step 2: Convert to fraction form
    100,827.17/150,825.22 = 82,855.50/x
  3. Step 3: Cross multiply
    100,827.17x = 150,825.22 × 82,855.50
  4. Step 4: Simplify right side
    100,827.17x = 12,496,699,015.71
  5. Step 5: Solve for x
    x = 12,496,699,015.71/100,827.17
  6. Step 6: Final answer
    x = 123,941.78

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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.