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Finding the Fourth Proportional to 218,180.25, 301,092.39 and 142,728.75

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Solution

The fourth proportional to 218,180.25, 301,092.39 and 142,728.75 is: 196,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,180.25 : 301,092.39 = 142,728.75 : x
  2. Step 2: Convert to fraction form
    218,180.25/301,092.39 = 142,728.75/x
  3. Step 3: Cross multiply
    218,180.25x = 301,092.39 × 142,728.75
  4. Step 4: Simplify right side
    218,180.25x = 42,974,540,459.21
  5. Step 5: Solve for x
    x = 42,974,540,459.21/218,180.25
  6. Step 6: Final answer
    x = 196,968.06

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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.