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Finding the Fourth Proportional to 194,401.44, 291,480.88 and 82,023.84

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Solution

The fourth proportional to 194,401.44, 291,480.88 and 82,023.84 is: 122,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,401.44 : 291,480.88 = 82,023.84 : x
  2. Step 2: Convert to fraction form
    194,401.44/291,480.88 = 82,023.84/x
  3. Step 3: Cross multiply
    194,401.44x = 291,480.88 × 82,023.84
  4. Step 4: Simplify right side
    194,401.44x = 23,908,381,064.18
  5. Step 5: Solve for x
    x = 23,908,381,064.18/194,401.44
  6. Step 6: Final answer
    x = 122,984.59

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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.