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Finding the Fourth Proportional to 213,906.87, 295,194.97 and 117,109.10

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Solution

The fourth proportional to 213,906.87, 295,194.97 and 117,109.10 is: 161,612.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,906.87 : 295,194.97 = 117,109.10 : x
  2. Step 2: Convert to fraction form
    213,906.87/295,194.97 = 117,109.10/x
  3. Step 3: Cross multiply
    213,906.87x = 295,194.97 × 117,109.10
  4. Step 4: Simplify right side
    213,906.87x = 34,570,017,261.23
  5. Step 5: Solve for x
    x = 34,570,017,261.23/213,906.87
  6. Step 6: Final answer
    x = 161,612.47

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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.