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Finding the Fourth Proportional to 277,138.56, 382,196.16 and 181,610.56

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Solution

The fourth proportional to 277,138.56, 382,196.16 and 181,610.56 is: 250,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,138.56 : 382,196.16 = 181,610.56 : x
  2. Step 2: Convert to fraction form
    277,138.56/382,196.16 = 181,610.56/x
  3. Step 3: Cross multiply
    277,138.56x = 382,196.16 × 181,610.56
  4. Step 4: Simplify right side
    277,138.56x = 69,410,858,647.45
  5. Step 5: Solve for x
    x = 69,410,858,647.45/277,138.56
  6. Step 6: Final answer
    x = 250,455.44

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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.