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Finding the Fourth Proportional to 271,116.54, 406,725.96 and 102,687.30

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Solution

The fourth proportional to 271,116.54, 406,725.96 and 102,687.30 is: 154,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,116.54 : 406,725.96 = 102,687.30 : x
  2. Step 2: Convert to fraction form
    271,116.54/406,725.96 = 102,687.30/x
  3. Step 3: Cross multiply
    271,116.54x = 406,725.96 × 102,687.30
  4. Step 4: Simplify right side
    271,116.54x = 41,765,590,672.31
  5. Step 5: Solve for x
    x = 41,765,590,672.31/271,116.54
  6. Step 6: Final answer
    x = 154,050.32

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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.