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Finding the Fourth Proportional to 213,351.42, 294,425.94 and 116,556.66

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Solution

The fourth proportional to 213,351.42, 294,425.94 and 116,556.66 is: 160,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,351.42 : 294,425.94 = 116,556.66 : x
  2. Step 2: Convert to fraction form
    213,351.42/294,425.94 = 116,556.66/x
  3. Step 3: Cross multiply
    213,351.42x = 294,425.94 × 116,556.66
  4. Step 4: Simplify right side
    213,351.42x = 34,317,304,183.76
  5. Step 5: Solve for x
    x = 34,317,304,183.76/213,351.42
  6. Step 6: Final answer
    x = 160,848.73

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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.