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Finding the Fourth Proportional to 358,137.66, 494,219.52 and 196,992.66

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Solution

The fourth proportional to 358,137.66, 494,219.52 and 196,992.66 is: 271,844.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,137.66 : 494,219.52 = 196,992.66 : x
  2. Step 2: Convert to fraction form
    358,137.66/494,219.52 = 196,992.66/x
  3. Step 3: Cross multiply
    358,137.66x = 494,219.52 × 196,992.66
  4. Step 4: Simplify right side
    358,137.66x = 97,357,617,868.72
  5. Step 5: Solve for x
    x = 97,357,617,868.72/358,137.66
  6. Step 6: Final answer
    x = 271,844.12

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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.