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Finding the Fourth Proportional to 277,485.73, 382,930.31 and 150,161.33

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Solution

The fourth proportional to 277,485.73, 382,930.31 and 150,161.33 is: 207,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,485.73 : 382,930.31 = 150,161.33 : x
  2. Step 2: Convert to fraction form
    277,485.73/382,930.31 = 150,161.33/x
  3. Step 3: Cross multiply
    277,485.73x = 382,930.31 × 150,161.33
  4. Step 4: Simplify right side
    277,485.73x = 57,501,324,646.91
  5. Step 5: Solve for x
    x = 57,501,324,646.91/277,485.73
  6. Step 6: Final answer
    x = 207,222.64

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1.5x scale

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.