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Finding the Fourth Proportional to 271,107.30, 406,665.06 and 102,705.60

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Solution

The fourth proportional to 271,107.30, 406,665.06 and 102,705.60 is: 154,059.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,107.30 : 406,665.06 = 102,705.60 : x
  2. Step 2: Convert to fraction form
    271,107.30/406,665.06 = 102,705.60/x
  3. Step 3: Cross multiply
    271,107.30x = 406,665.06 × 102,705.60
  4. Step 4: Simplify right side
    271,107.30x = 41,766,778,986.34
  5. Step 5: Solve for x
    x = 41,766,778,986.34/271,107.30
  6. Step 6: Final answer
    x = 154,059.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.