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Finding the Fourth Proportional to 271,062.60, 406,302.30 and 102,517.80

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Solution

The fourth proportional to 271,062.60, 406,302.30 and 102,517.80 is: 153,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,062.60 : 406,302.30 = 102,517.80 : x
  2. Step 2: Convert to fraction form
    271,062.60/406,302.30 = 102,517.80/x
  3. Step 3: Cross multiply
    271,062.60x = 406,302.30 × 102,517.80
  4. Step 4: Simplify right side
    271,062.60x = 41,653,217,930.94
  5. Step 5: Solve for x
    x = 41,653,217,930.94/271,062.60
  6. Step 6: Final answer
    x = 153,666.41

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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.