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Finding the Fourth Proportional to 209,560.67, 289,185.69 and 118,911.23

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Solution

The fourth proportional to 209,560.67, 289,185.69 and 118,911.23 is: 164,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,560.67 : 289,185.69 = 118,911.23 : x
  2. Step 2: Convert to fraction form
    209,560.67/289,185.69 = 118,911.23/x
  3. Step 3: Cross multiply
    209,560.67x = 289,185.69 × 118,911.23
  4. Step 4: Simplify right side
    209,560.67x = 34,387,424,650.37
  5. Step 5: Solve for x
    x = 34,387,424,650.37/209,560.67
  6. Step 6: Final answer
    x = 164,092.94

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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.