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Finding the Fourth Proportional to 204,142.41, 306,189.18 and 54,393.66

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Solution

The fourth proportional to 204,142.41, 306,189.18 and 54,393.66 is: 81,583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,142.41 : 306,189.18 = 54,393.66 : x
  2. Step 2: Convert to fraction form
    204,142.41/306,189.18 = 54,393.66/x
  3. Step 3: Cross multiply
    204,142.41x = 306,189.18 × 54,393.66
  4. Step 4: Simplify right side
    204,142.41x = 16,654,750,152.60
  5. Step 5: Solve for x
    x = 16,654,750,152.60/204,142.41
  6. Step 6: Final answer
    x = 81,583.98

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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.