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Finding the Fourth Proportional to 213,912.24, 295,202.40 and 117,114.49

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Solution

The fourth proportional to 213,912.24, 295,202.40 and 117,114.49 is: 161,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,912.24 : 295,202.40 = 117,114.49 : x
  2. Step 2: Convert to fraction form
    213,912.24/295,202.40 = 117,114.49/x
  3. Step 3: Cross multiply
    213,912.24x = 295,202.40 × 117,114.49
  4. Step 4: Simplify right side
    213,912.24x = 34,572,477,784.77
  5. Step 5: Solve for x
    x = 34,572,477,784.77/213,912.24
  6. Step 6: Final answer
    x = 161,619.91

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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.