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Finding the Fourth Proportional to 241,022.54, 361,294.53 and 114,440.30

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Solution

The fourth proportional to 241,022.54, 361,294.53 and 114,440.30 is: 171,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,022.54 : 361,294.53 = 114,440.30 : x
  2. Step 2: Convert to fraction form
    241,022.54/361,294.53 = 114,440.30/x
  3. Step 3: Cross multiply
    241,022.54x = 361,294.53 × 114,440.30
  4. Step 4: Simplify right side
    241,022.54x = 41,346,654,401.56
  5. Step 5: Solve for x
    x = 41,346,654,401.56/241,022.54
  6. Step 6: Final answer
    x = 171,546.84

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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.