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Finding the Fourth Proportional to 277,519.86, 382,978.53 and 150,195.42

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Solution

The fourth proportional to 277,519.86, 382,978.53 and 150,195.42 is: 207,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,519.86 : 382,978.53 = 150,195.42 : x
  2. Step 2: Convert to fraction form
    277,519.86/382,978.53 = 150,195.42/x
  3. Step 3: Cross multiply
    277,519.86x = 382,978.53 × 150,195.42
  4. Step 4: Simplify right side
    277,519.86x = 57,521,621,164.33
  5. Step 5: Solve for x
    x = 57,521,621,164.33/277,519.86
  6. Step 6: Final answer
    x = 207,270.29

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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.