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Finding the Fourth Proportional to 109,714.88, 164,580 and 54,296

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Solution

The fourth proportional to 109,714.88, 164,580 and 54,296 is: 81,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,714.88 : 164,580 = 54,296 : x
  2. Step 2: Convert to fraction form
    109,714.88/164,580 = 54,296/x
  3. Step 3: Cross multiply
    109,714.88x = 164,580 × 54,296
  4. Step 4: Simplify right side
    109,714.88x = 8,936,035,680
  5. Step 5: Solve for x
    x = 8,936,035,680/109,714.88
  6. Step 6: Final answer
    x = 81,447.80

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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.