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Finding the Fourth Proportional to 277,137.06, 382,194.09 and 181,609.06

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Solution

The fourth proportional to 277,137.06, 382,194.09 and 181,609.06 is: 250,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,137.06 : 382,194.09 = 181,609.06 : x
  2. Step 2: Convert to fraction form
    277,137.06/382,194.09 = 181,609.06/x
  3. Step 3: Cross multiply
    277,137.06x = 382,194.09 × 181,609.06
  4. Step 4: Simplify right side
    277,137.06x = 69,409,909,422.46
  5. Step 5: Solve for x
    x = 69,409,909,422.46/277,137.06
  6. Step 6: Final answer
    x = 250,453.37

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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.