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Finding the Fourth Proportional to 271,104.30, 406,660.56 and 102,702.60

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Solution

The fourth proportional to 271,104.30, 406,660.56 and 102,702.60 is: 154,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,104.30 : 406,660.56 = 102,702.60 : x
  2. Step 2: Convert to fraction form
    271,104.30/406,660.56 = 102,702.60/x
  3. Step 3: Cross multiply
    271,104.30x = 406,660.56 × 102,702.60
  4. Step 4: Simplify right side
    271,104.30x = 41,765,096,829.46
  5. Step 5: Solve for x
    x = 41,765,096,829.46/271,104.30
  6. Step 6: Final answer
    x = 154,055.46

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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.