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Finding the Fourth Proportional to 215,933.58, 321,684.21 and 206,218.21

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Solution

The fourth proportional to 215,933.58, 321,684.21 and 206,218.21 is: 307,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,933.58 : 321,684.21 = 206,218.21 : x
  2. Step 2: Convert to fraction form
    215,933.58/321,684.21 = 206,218.21/x
  3. Step 3: Cross multiply
    215,933.58x = 321,684.21 × 206,218.21
  4. Step 4: Simplify right side
    215,933.58x = 66,337,141,971.46
  5. Step 5: Solve for x
    x = 66,337,141,971.46/215,933.58
  6. Step 6: Final answer
    x = 307,210.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.