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Finding the Fourth Proportional to 213,513.21, 294,654.42 and 116,722.38

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Solution

The fourth proportional to 213,513.21, 294,654.42 and 116,722.38 is: 161,080.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,513.21 : 294,654.42 = 116,722.38 : x
  2. Step 2: Convert to fraction form
    213,513.21/294,654.42 = 116,722.38/x
  3. Step 3: Cross multiply
    213,513.21x = 294,654.42 × 116,722.38
  4. Step 4: Simplify right side
    213,513.21x = 34,392,765,179.92
  5. Step 5: Solve for x
    x = 34,392,765,179.92/213,513.21
  6. Step 6: Final answer
    x = 161,080.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.