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Finding the Fourth Proportional to 271,058.16, 406,607.21 and 71,377.16

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Solution

The fourth proportional to 271,058.16, 406,607.21 and 71,377.16 is: 107,071.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,058.16 : 406,607.21 = 71,377.16 : x
  2. Step 2: Convert to fraction form
    271,058.16/406,607.21 = 71,377.16/x
  3. Step 3: Cross multiply
    271,058.16x = 406,607.21 × 71,377.16
  4. Step 4: Simplify right side
    271,058.16x = 29,022,467,528.44
  5. Step 5: Solve for x
    x = 29,022,467,528.44/271,058.16
  6. Step 6: Final answer
    x = 107,071.00

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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.