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Finding the Fourth Proportional to 189,335.27, 261,308.02 and 120,431.45

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Solution

The fourth proportional to 189,335.27, 261,308.02 and 120,431.45 is: 166,211.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,335.27 : 261,308.02 = 120,431.45 : x
  2. Step 2: Convert to fraction form
    189,335.27/261,308.02 = 120,431.45/x
  3. Step 3: Cross multiply
    189,335.27x = 261,308.02 × 120,431.45
  4. Step 4: Simplify right side
    189,335.27x = 31,469,702,401.23
  5. Step 5: Solve for x
    x = 31,469,702,401.23/189,335.27
  6. Step 6: Final answer
    x = 166,211.51

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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.