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Finding the Fourth Proportional to 270,821.38, 373,728.93 and 149,960.07

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Solution

The fourth proportional to 270,821.38, 373,728.93 and 149,960.07 is: 206,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,821.38 : 373,728.93 = 149,960.07 : x
  2. Step 2: Convert to fraction form
    270,821.38/373,728.93 = 149,960.07/x
  3. Step 3: Cross multiply
    270,821.38x = 373,728.93 × 149,960.07
  4. Step 4: Simplify right side
    270,821.38x = 56,044,414,635.18
  5. Step 5: Solve for x
    x = 56,044,414,635.18/270,821.38
  6. Step 6: Final answer
    x = 206,942.36

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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.