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Finding the Fourth Proportional to 209,438.37, 289,021.77 and 113,942.88

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Solution

The fourth proportional to 209,438.37, 289,021.77 and 113,942.88 is: 157,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,438.37 : 289,021.77 = 113,942.88 : x
  2. Step 2: Convert to fraction form
    209,438.37/289,021.77 = 113,942.88/x
  3. Step 3: Cross multiply
    209,438.37x = 289,021.77 × 113,942.88
  4. Step 4: Simplify right side
    209,438.37x = 32,931,972,856.50
  5. Step 5: Solve for x
    x = 32,931,972,856.50/209,438.37
  6. Step 6: Final answer
    x = 157,239.44

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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.