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Finding the Fourth Proportional to 189,659.96, 261,782.82 and 117,997.24

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Solution

The fourth proportional to 189,659.96, 261,782.82 and 117,997.24 is: 162,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,659.96 : 261,782.82 = 117,997.24 : x
  2. Step 2: Convert to fraction form
    189,659.96/261,782.82 = 117,997.24/x
  3. Step 3: Cross multiply
    189,659.96x = 261,782.82 × 117,997.24
  4. Step 4: Simplify right side
    189,659.96x = 30,889,650,239.42
  5. Step 5: Solve for x
    x = 30,889,650,239.42/189,659.96
  6. Step 6: Final answer
    x = 162,868.59

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