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Finding the Fourth Proportional to 277,272.23, 415,982.04 and 87,735.97

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Solution

The fourth proportional to 277,272.23, 415,982.04 and 87,735.97 is: 131,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,272.23 : 415,982.04 = 87,735.97 : x
  2. Step 2: Convert to fraction form
    277,272.23/415,982.04 = 87,735.97/x
  3. Step 3: Cross multiply
    277,272.23x = 415,982.04 × 87,735.97
  4. Step 4: Simplify right side
    277,272.23x = 36,496,586,303.34
  5. Step 5: Solve for x
    x = 36,496,586,303.34/277,272.23
  6. Step 6: Final answer
    x = 131,627.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.