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Finding the Fourth Proportional to 216,122.72, 324,226.07 and 82,993.19

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Solution

The fourth proportional to 216,122.72, 324,226.07 and 82,993.19 is: 124,505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,122.72 : 324,226.07 = 82,993.19 : x
  2. Step 2: Convert to fraction form
    216,122.72/324,226.07 = 82,993.19/x
  3. Step 3: Cross multiply
    216,122.72x = 324,226.07 × 82,993.19
  4. Step 4: Simplify right side
    216,122.72x = 26,908,555,415.50
  5. Step 5: Solve for x
    x = 26,908,555,415.50/216,122.72
  6. Step 6: Final answer
    x = 124,505.91

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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.