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Finding the Fourth Proportional to 215,883.40, 323,825.10 and 206,552.20

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Solution

The fourth proportional to 215,883.40, 323,825.10 and 206,552.20 is: 309,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,883.40 : 323,825.10 = 206,552.20 : x
  2. Step 2: Convert to fraction form
    215,883.40/323,825.10 = 206,552.20/x
  3. Step 3: Cross multiply
    215,883.40x = 323,825.10 × 206,552.20
  4. Step 4: Simplify right side
    215,883.40x = 66,886,786,820.22
  5. Step 5: Solve for x
    x = 66,886,786,820.22/215,883.40
  6. Step 6: Final answer
    x = 309,828.30

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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.