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Finding the Fourth Proportional to 358,119.78, 494,205.75 and 196,975.14

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Solution

The fourth proportional to 358,119.78, 494,205.75 and 196,975.14 is: 271,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,119.78 : 494,205.75 = 196,975.14 : x
  2. Step 2: Convert to fraction form
    358,119.78/494,205.75 = 196,975.14/x
  3. Step 3: Cross multiply
    358,119.78x = 494,205.75 × 196,975.14
  4. Step 4: Simplify right side
    358,119.78x = 97,346,246,795.06
  5. Step 5: Solve for x
    x = 97,346,246,795.06/358,119.78
  6. Step 6: Final answer
    x = 271,825.94

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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.