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Finding the Fourth Proportional to 209,537.55, 289,182 and 129,012.21

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Solution

The fourth proportional to 209,537.55, 289,182 and 129,012.21 is: 178,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,537.55 : 289,182 = 129,012.21 : x
  2. Step 2: Convert to fraction form
    209,537.55/289,182 = 129,012.21/x
  3. Step 3: Cross multiply
    209,537.55x = 289,182 × 129,012.21
  4. Step 4: Simplify right side
    209,537.55x = 37,308,008,912.22
  5. Step 5: Solve for x
    x = 37,308,008,912.22/209,537.55
  6. Step 6: Final answer
    x = 178,049.28

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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.