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Finding the Fourth Proportional to 213,165.99, 294,169.12 and 117,672.75

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Solution

The fourth proportional to 213,165.99, 294,169.12 and 117,672.75 is: 162,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,165.99 : 294,169.12 = 117,672.75 : x
  2. Step 2: Convert to fraction form
    213,165.99/294,169.12 = 117,672.75/x
  3. Step 3: Cross multiply
    213,165.99x = 294,169.12 × 117,672.75
  4. Step 4: Simplify right side
    213,165.99x = 34,615,689,021.30
  5. Step 5: Solve for x
    x = 34,615,689,021.30/213,165.99
  6. Step 6: Final answer
    x = 162,388.42

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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.