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Finding the Fourth Proportional to 277,190.96, 415,722.87 and 77,525.46

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Solution

The fourth proportional to 277,190.96, 415,722.87 and 77,525.46 is: 116,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,190.96 : 415,722.87 = 77,525.46 : x
  2. Step 2: Convert to fraction form
    277,190.96/415,722.87 = 77,525.46/x
  3. Step 3: Cross multiply
    277,190.96x = 415,722.87 × 77,525.46
  4. Step 4: Simplify right side
    277,190.96x = 32,229,106,729.27
  5. Step 5: Solve for x
    x = 32,229,106,729.27/277,190.96
  6. Step 6: Final answer
    x = 116,270.41

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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.