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Finding the Fourth Proportional to 277,825.20, 383,397.84 and 150,500.64

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Solution

The fourth proportional to 277,825.20, 383,397.84 and 150,500.64 is: 207,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,825.20 : 383,397.84 = 150,500.64 : x
  2. Step 2: Convert to fraction form
    277,825.20/383,397.84 = 150,500.64/x
  3. Step 3: Cross multiply
    277,825.20x = 383,397.84 × 150,500.64
  4. Step 4: Simplify right side
    277,825.20x = 57,701,620,294.62
  5. Step 5: Solve for x
    x = 57,701,620,294.62/277,825.20
  6. Step 6: Final answer
    x = 207,690.38

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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.