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Finding the Fourth Proportional to 264,119.20, 396,567.60 and 205,021.60

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Solution

The fourth proportional to 264,119.20, 396,567.60 and 205,021.60 is: 307,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,119.20 : 396,567.60 = 205,021.60 : x
  2. Step 2: Convert to fraction form
    264,119.20/396,567.60 = 205,021.60/x
  3. Step 3: Cross multiply
    264,119.20x = 396,567.60 × 205,021.60
  4. Step 4: Simplify right side
    264,119.20x = 81,304,923,860.16
  5. Step 5: Solve for x
    x = 81,304,923,860.16/264,119.20
  6. Step 6: Final answer
    x = 307,834.20

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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.