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Finding the Fourth Proportional to 271,106.30, 406,663.56 and 102,704.60

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Solution

The fourth proportional to 271,106.30, 406,663.56 and 102,704.60 is: 154,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,106.30 : 406,663.56 = 102,704.60 : x
  2. Step 2: Convert to fraction form
    271,106.30/406,663.56 = 102,704.60/x
  3. Step 3: Cross multiply
    271,106.30x = 406,663.56 × 102,704.60
  4. Step 4: Simplify right side
    271,106.30x = 41,766,218,264.38
  5. Step 5: Solve for x
    x = 41,766,218,264.38/271,106.30
  6. Step 6: Final answer
    x = 154,058.46

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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.