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Finding the Fourth Proportional to 204,399, 306,615.78 and 56,655

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Solution

The fourth proportional to 204,399, 306,615.78 and 56,655 is: 84,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,399 : 306,615.78 = 56,655 : x
  2. Step 2: Convert to fraction form
    204,399/306,615.78 = 56,655/x
  3. Step 3: Cross multiply
    204,399x = 306,615.78 × 56,655
  4. Step 4: Simplify right side
    204,399x = 17,371,317,015.90
  5. Step 5: Solve for x
    x = 17,371,317,015.90/204,399
  6. Step 6: Final answer
    x = 84,987.29

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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.