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Finding the Fourth Proportional to 209,584.76, 289,266.82 and 118,949.21

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Solution

The fourth proportional to 209,584.76, 289,266.82 and 118,949.21 is: 164,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,584.76 : 289,266.82 = 118,949.21 : x
  2. Step 2: Convert to fraction form
    209,584.76/289,266.82 = 118,949.21/x
  3. Step 3: Cross multiply
    209,584.76x = 289,266.82 × 118,949.21
  4. Step 4: Simplify right side
    209,584.76x = 34,408,059,059.26
  5. Step 5: Solve for x
    x = 34,408,059,059.26/209,584.76
  6. Step 6: Final answer
    x = 164,172.53

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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.