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Finding the Fourth Proportional to 277,647.36, 383,161.20 and 156,806.82

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Solution

The fourth proportional to 277,647.36, 383,161.20 and 156,806.82 is: 216,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,647.36 : 383,161.20 = 156,806.82 : x
  2. Step 2: Convert to fraction form
    277,647.36/383,161.20 = 156,806.82/x
  3. Step 3: Cross multiply
    277,647.36x = 383,161.20 × 156,806.82
  4. Step 4: Simplify right side
    277,647.36x = 60,082,289,319.38
  5. Step 5: Solve for x
    x = 60,082,289,319.38/277,647.36
  6. Step 6: Final answer
    x = 216,397.84

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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.