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Finding the Fourth Proportional to 209,538.83, 289,163.58 and 114,046.22

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Solution

The fourth proportional to 209,538.83, 289,163.58 and 114,046.22 is: 157,383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,538.83 : 289,163.58 = 114,046.22 : x
  2. Step 2: Convert to fraction form
    209,538.83/289,163.58 = 114,046.22/x
  3. Step 3: Cross multiply
    209,538.83x = 289,163.58 × 114,046.22
  4. Step 4: Simplify right side
    209,538.83x = 32,978,013,260.67
  5. Step 5: Solve for x
    x = 32,978,013,260.67/209,538.83
  6. Step 6: Final answer
    x = 157,383.78

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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.