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Finding the Fourth Proportional to 194,122.98, 291,186.09 and 53,892.54

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Solution

The fourth proportional to 194,122.98, 291,186.09 and 53,892.54 is: 80,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,122.98 : 291,186.09 = 53,892.54 : x
  2. Step 2: Convert to fraction form
    194,122.98/291,186.09 = 53,892.54/x
  3. Step 3: Cross multiply
    194,122.98x = 291,186.09 × 53,892.54
  4. Step 4: Simplify right side
    194,122.98x = 15,692,758,002.77
  5. Step 5: Solve for x
    x = 15,692,758,002.77/194,122.98
  6. Step 6: Final answer
    x = 80,839.26

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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.