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Finding the Fourth Proportional to 271,010.26, 406,071.90 and 164,070.07

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Solution

The fourth proportional to 271,010.26, 406,071.90 and 164,070.07 is: 245,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,010.26 : 406,071.90 = 164,070.07 : x
  2. Step 2: Convert to fraction form
    271,010.26/406,071.90 = 164,070.07/x
  3. Step 3: Cross multiply
    271,010.26x = 406,071.90 × 164,070.07
  4. Step 4: Simplify right side
    271,010.26x = 66,624,245,058.03
  5. Step 5: Solve for x
    x = 66,624,245,058.03/271,010.26
  6. Step 6: Final answer
    x = 245,836.62

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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.