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Finding the Fourth Proportional to 244,184, 367,939.91 and 200,783

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Solution

The fourth proportional to 244,184, 367,939.91 and 200,783 is: 302,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,184 : 367,939.91 = 200,783 : x
  2. Step 2: Convert to fraction form
    244,184/367,939.91 = 200,783/x
  3. Step 3: Cross multiply
    244,184x = 367,939.91 × 200,783
  4. Step 4: Simplify right side
    244,184x = 73,876,078,949.53
  5. Step 5: Solve for x
    x = 73,876,078,949.53/244,184
  6. Step 6: Final answer
    x = 302,542.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.