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Finding the Fourth Proportional to 270,194.18, 405,296.86 and 83,205.50

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Solution

The fourth proportional to 270,194.18, 405,296.86 and 83,205.50 is: 124,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,194.18 : 405,296.86 = 83,205.50 : x
  2. Step 2: Convert to fraction form
    270,194.18/405,296.86 = 83,205.50/x
  3. Step 3: Cross multiply
    270,194.18x = 405,296.86 × 83,205.50
  4. Step 4: Simplify right side
    270,194.18x = 33,722,927,884.73
  5. Step 5: Solve for x
    x = 33,722,927,884.73/270,194.18
  6. Step 6: Final answer
    x = 124,809.97

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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.