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Finding the Fourth Proportional to 277,897.87, 383,631.29 and 186,175.09

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Solution

The fourth proportional to 277,897.87, 383,631.29 and 186,175.09 is: 257,010.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,897.87 : 383,631.29 = 186,175.09 : x
  2. Step 2: Convert to fraction form
    277,897.87/383,631.29 = 186,175.09/x
  3. Step 3: Cross multiply
    277,897.87x = 383,631.29 × 186,175.09
  4. Step 4: Simplify right side
    277,897.87x = 71,422,589,942.57
  5. Step 5: Solve for x
    x = 71,422,589,942.57/277,897.87
  6. Step 6: Final answer
    x = 257,010.21

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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.