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Finding the Fourth Proportional to 277,825.86, 383,399.87 and 150,501.96

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Solution

The fourth proportional to 277,825.86, 383,399.87 and 150,501.96 is: 207,692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,825.86 : 383,399.87 = 150,501.96 : x
  2. Step 2: Convert to fraction form
    277,825.86/383,399.87 = 150,501.96/x
  3. Step 3: Cross multiply
    277,825.86x = 383,399.87 × 150,501.96
  4. Step 4: Simplify right side
    277,825.86x = 57,702,431,146.24
  5. Step 5: Solve for x
    x = 57,702,431,146.24/277,825.86
  6. Step 6: Final answer
    x = 207,692.80

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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.