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Finding the Fourth Proportional to 270,759.22, 406,511.52 and 137,729.50

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Solution

The fourth proportional to 270,759.22, 406,511.52 and 137,729.50 is: 206,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,759.22 : 406,511.52 = 137,729.50 : x
  2. Step 2: Convert to fraction form
    270,759.22/406,511.52 = 137,729.50/x
  3. Step 3: Cross multiply
    270,759.22x = 406,511.52 × 137,729.50
  4. Step 4: Simplify right side
    270,759.22x = 55,988,628,393.84
  5. Step 5: Solve for x
    x = 55,988,628,393.84/270,759.22
  6. Step 6: Final answer
    x = 206,783.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.