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Finding the Fourth Proportional to 189,722.72, 261,814.16 and 103,679.80

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Solution

The fourth proportional to 189,722.72, 261,814.16 and 103,679.80 is: 143,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,722.72 : 261,814.16 = 103,679.80 : x
  2. Step 2: Convert to fraction form
    189,722.72/261,814.16 = 103,679.80/x
  3. Step 3: Cross multiply
    189,722.72x = 261,814.16 × 103,679.80
  4. Step 4: Simplify right side
    189,722.72x = 27,144,839,745.97
  5. Step 5: Solve for x
    x = 27,144,839,745.97/189,722.72
  6. Step 6: Final answer
    x = 143,076.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.