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Finding the Fourth Proportional to 194,504.96, 291,872.22 and 82,177.88

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Solution

The fourth proportional to 194,504.96, 291,872.22 and 82,177.88 is: 123,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,504.96 : 291,872.22 = 82,177.88 : x
  2. Step 2: Convert to fraction form
    194,504.96/291,872.22 = 82,177.88/x
  3. Step 3: Cross multiply
    194,504.96x = 291,872.22 × 82,177.88
  4. Step 4: Simplify right side
    194,504.96x = 23,985,440,270.49
  5. Step 5: Solve for x
    x = 23,985,440,270.49/194,504.96
  6. Step 6: Final answer
    x = 123,315.31

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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.