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Finding the Fourth Proportional to 213,811.74, 295,060.32 and 117,015.54

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Solution

The fourth proportional to 213,811.74, 295,060.32 and 117,015.54 is: 161,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,811.74 : 295,060.32 = 117,015.54 : x
  2. Step 2: Convert to fraction form
    213,811.74/295,060.32 = 117,015.54/x
  3. Step 3: Cross multiply
    213,811.74x = 295,060.32 × 117,015.54
  4. Step 4: Simplify right side
    213,811.74x = 34,526,642,092.30
  5. Step 5: Solve for x
    x = 34,526,642,092.30/213,811.74
  6. Step 6: Final answer
    x = 161,481.51

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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.