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Finding the Fourth Proportional to 241,067.34, 361,668.70 and 89,262.14

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Solution

The fourth proportional to 241,067.34, 361,668.70 and 89,262.14 is: 133,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,067.34 : 361,668.70 = 89,262.14 : x
  2. Step 2: Convert to fraction form
    241,067.34/361,668.70 = 89,262.14/x
  3. Step 3: Cross multiply
    241,067.34x = 361,668.70 × 89,262.14
  4. Step 4: Simplify right side
    241,067.34x = 32,283,322,133.02
  5. Step 5: Solve for x
    x = 32,283,322,133.02/241,067.34
  6. Step 6: Final answer
    x = 133,918.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.