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Finding the Fourth Proportional to 240,021.54, 330,981.65 and 206,142.21

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Solution

The fourth proportional to 240,021.54, 330,981.65 and 206,142.21 is: 284,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,021.54 : 330,981.65 = 206,142.21 : x
  2. Step 2: Convert to fraction form
    240,021.54/330,981.65 = 206,142.21/x
  3. Step 3: Cross multiply
    240,021.54x = 330,981.65 × 206,142.21
  4. Step 4: Simplify right side
    240,021.54x = 68,229,286,114.83
  5. Step 5: Solve for x
    x = 68,229,286,114.83/240,021.54
  6. Step 6: Final answer
    x = 284,263.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.