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Finding the Fourth Proportional to 277,747.69, 383,315.42 and 156,911.16

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Solution

The fourth proportional to 277,747.69, 383,315.42 and 156,911.16 is: 216,550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,747.69 : 383,315.42 = 156,911.16 : x
  2. Step 2: Convert to fraction form
    277,747.69/383,315.42 = 156,911.16/x
  3. Step 3: Cross multiply
    277,747.69x = 383,315.42 × 156,911.16
  4. Step 4: Simplify right side
    277,747.69x = 60,146,467,198.09
  5. Step 5: Solve for x
    x = 60,146,467,198.09/277,747.69
  6. Step 6: Final answer
    x = 216,550.74

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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.