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Finding the Fourth Proportional to 213,189.39, 294,193.65 and 117,694.05

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Solution

The fourth proportional to 213,189.39, 294,193.65 and 117,694.05 is: 162,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,189.39 : 294,193.65 = 117,694.05 : x
  2. Step 2: Convert to fraction form
    213,189.39/294,193.65 = 117,694.05/x
  3. Step 3: Cross multiply
    213,189.39x = 294,193.65 × 117,694.05
  4. Step 4: Simplify right side
    213,189.39x = 34,624,842,152.78
  5. Step 5: Solve for x
    x = 34,624,842,152.78/213,189.39
  6. Step 6: Final answer
    x = 162,413.53

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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.