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Finding the Fourth Proportional to 68,196, 102,261.76 and 23,817.44

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Solution

The fourth proportional to 68,196, 102,261.76 and 23,817.44 is: 35,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,196 : 102,261.76 = 23,817.44 : x
  2. Step 2: Convert to fraction form
    68,196/102,261.76 = 23,817.44/x
  3. Step 3: Cross multiply
    68,196x = 102,261.76 × 23,817.44
  4. Step 4: Simplify right side
    68,196x = 2,435,613,333.09
  5. Step 5: Solve for x
    x = 2,435,613,333.09/68,196
  6. Step 6: Final answer
    x = 35,714.90

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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.