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Finding the Fourth Proportional to 277,638, 383,111.04 and 156,771.96

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Solution

The fourth proportional to 277,638, 383,111.04 and 156,771.96 is: 216,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,638 : 383,111.04 = 156,771.96 : x
  2. Step 2: Convert to fraction form
    277,638/383,111.04 = 156,771.96/x
  3. Step 3: Cross multiply
    277,638x = 383,111.04 × 156,771.96
  4. Step 4: Simplify right side
    277,638x = 60,061,068,638.44
  5. Step 5: Solve for x
    x = 60,061,068,638.44/277,638
  6. Step 6: Final answer
    x = 216,328.70

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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.