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Finding the Fourth Proportional to 277,220.26, 382,564.23 and 149,895.82

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Solution

The fourth proportional to 277,220.26, 382,564.23 and 149,895.82 is: 206,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,220.26 : 382,564.23 = 149,895.82 : x
  2. Step 2: Convert to fraction form
    277,220.26/382,564.23 = 149,895.82/x
  3. Step 3: Cross multiply
    277,220.26x = 382,564.23 × 149,895.82
  4. Step 4: Simplify right side
    277,220.26x = 57,344,778,958.52
  5. Step 5: Solve for x
    x = 57,344,778,958.52/277,220.26
  6. Step 6: Final answer
    x = 206,856.38

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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.