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Finding the Fourth Proportional to 209,538.72, 289,163.42 and 114,046.10

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Solution

The fourth proportional to 209,538.72, 289,163.42 and 114,046.10 is: 157,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,538.72 : 289,163.42 = 114,046.10 : x
  2. Step 2: Convert to fraction form
    209,538.72/289,163.42 = 114,046.10/x
  3. Step 3: Cross multiply
    209,538.72x = 289,163.42 × 114,046.10
  4. Step 4: Simplify right side
    209,538.72x = 32,977,958,297.61
  5. Step 5: Solve for x
    x = 32,977,958,297.61/209,538.72
  6. Step 6: Final answer
    x = 157,383.60

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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.