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Finding the Fourth Proportional to 209,906.69, 289,668.29 and 114,413.76

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Solution

The fourth proportional to 209,906.69, 289,668.29 and 114,413.76 is: 157,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,906.69 : 289,668.29 = 114,413.76 : x
  2. Step 2: Convert to fraction form
    209,906.69/289,668.29 = 114,413.76/x
  3. Step 3: Cross multiply
    209,906.69x = 289,668.29 × 114,413.76
  4. Step 4: Simplify right side
    209,906.69x = 33,142,037,639.60
  5. Step 5: Solve for x
    x = 33,142,037,639.60/209,906.69
  6. Step 6: Final answer
    x = 157,889.39

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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.