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Finding the Fourth Proportional to 218,259.75, 301,195.38 and 122,766.42

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Solution

The fourth proportional to 218,259.75, 301,195.38 and 122,766.42 is: 169,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,259.75 : 301,195.38 = 122,766.42 : x
  2. Step 2: Convert to fraction form
    218,259.75/301,195.38 = 122,766.42/x
  3. Step 3: Cross multiply
    218,259.75x = 301,195.38 × 122,766.42
  4. Step 4: Simplify right side
    218,259.75x = 36,976,679,422.44
  5. Step 5: Solve for x
    x = 36,976,679,422.44/218,259.75
  6. Step 6: Final answer
    x = 169,415.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.