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Finding the Fourth Proportional to 204,381, 306,588.78 and 56,637

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Solution

The fourth proportional to 204,381, 306,588.78 and 56,637 is: 84,960.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,381 : 306,588.78 = 56,637 : x
  2. Step 2: Convert to fraction form
    204,381/306,588.78 = 56,637/x
  3. Step 3: Cross multiply
    204,381x = 306,588.78 × 56,637
  4. Step 4: Simplify right side
    204,381x = 17,364,268,732.86
  5. Step 5: Solve for x
    x = 17,364,268,732.86/204,381
  6. Step 6: Final answer
    x = 84,960.29

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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.