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Finding the Fourth Proportional to 271,223.40, 406,980.90 and 113,467.80

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Solution

The fourth proportional to 271,223.40, 406,980.90 and 113,467.80 is: 170,262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,223.40 : 406,980.90 = 113,467.80 : x
  2. Step 2: Convert to fraction form
    271,223.40/406,980.90 = 113,467.80/x
  3. Step 3: Cross multiply
    271,223.40x = 406,980.90 × 113,467.80
  4. Step 4: Simplify right side
    271,223.40x = 46,179,227,365.02
  5. Step 5: Solve for x
    x = 46,179,227,365.02/271,223.40
  6. Step 6: Final answer
    x = 170,262.70

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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.