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Finding the Fourth Proportional to 213,912.96, 295,203.39 and 117,115.21

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Solution

The fourth proportional to 213,912.96, 295,203.39 and 117,115.21 is: 161,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,912.96 : 295,203.39 = 117,115.21 : x
  2. Step 2: Convert to fraction form
    213,912.96/295,203.39 = 117,115.21/x
  3. Step 3: Cross multiply
    213,912.96x = 295,203.39 × 117,115.21
  4. Step 4: Simplify right side
    213,912.96x = 34,572,807,012.56
  5. Step 5: Solve for x
    x = 34,572,807,012.56/213,912.96
  6. Step 6: Final answer
    x = 161,620.91

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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.