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Finding the Fourth Proportional to 204,583, 306,878.34 and 56,842.84

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Solution

The fourth proportional to 204,583, 306,878.34 and 56,842.84 is: 85,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,583 : 306,878.34 = 56,842.84 : x
  2. Step 2: Convert to fraction form
    204,583/306,878.34 = 56,842.84/x
  3. Step 3: Cross multiply
    204,583x = 306,878.34 × 56,842.84
  4. Step 4: Simplify right side
    204,583x = 17,443,836,380.09
  5. Step 5: Solve for x
    x = 17,443,836,380.09/204,583
  6. Step 6: Final answer
    x = 85,265.33

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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.