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Finding the Fourth Proportional to 227,960.40, 342,039 and 122,758.41

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Solution

The fourth proportional to 227,960.40, 342,039 and 122,758.41 is: 184,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,960.40 : 342,039 = 122,758.41 : x
  2. Step 2: Convert to fraction form
    227,960.40/342,039 = 122,758.41/x
  3. Step 3: Cross multiply
    227,960.40x = 342,039 × 122,758.41
  4. Step 4: Simplify right side
    227,960.40x = 41,988,163,797.99
  5. Step 5: Solve for x
    x = 41,988,163,797.99/227,960.40
  6. Step 6: Final answer
    x = 184,190.60

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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.