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Finding the Fourth Proportional to 213,491.44, 294,618.24 and 117,998.14

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Solution

The fourth proportional to 213,491.44, 294,618.24 and 117,998.14 is: 162,837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,491.44 : 294,618.24 = 117,998.14 : x
  2. Step 2: Convert to fraction form
    213,491.44/294,618.24 = 117,998.14/x
  3. Step 3: Cross multiply
    213,491.44x = 294,618.24 × 117,998.14
  4. Step 4: Simplify right side
    213,491.44x = 34,764,404,330.07
  5. Step 5: Solve for x
    x = 34,764,404,330.07/213,491.44
  6. Step 6: Final answer
    x = 162,837.46

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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.