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Finding the Fourth Proportional to 277,891.86, 383,489.46 and 150,567.42

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Solution

The fourth proportional to 277,891.86, 383,489.46 and 150,567.42 is: 207,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,891.86 : 383,489.46 = 150,567.42 : x
  2. Step 2: Convert to fraction form
    277,891.86/383,489.46 = 150,567.42/x
  3. Step 3: Cross multiply
    277,891.86x = 383,489.46 × 150,567.42
  4. Step 4: Simplify right side
    277,891.86x = 57,741,018,589.39
  5. Step 5: Solve for x
    x = 57,741,018,589.39/277,891.86
  6. Step 6: Final answer
    x = 207,782.33

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Why These Related Problems?

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