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Finding the Fourth Proportional to 271,004.88, 406,063.84 and 164,064.70

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Solution

The fourth proportional to 271,004.88, 406,063.84 and 164,064.70 is: 245,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,004.88 : 406,063.84 = 164,064.70 : x
  2. Step 2: Convert to fraction form
    271,004.88/406,063.84 = 164,064.70/x
  3. Step 3: Cross multiply
    271,004.88x = 406,063.84 × 164,064.70
  4. Step 4: Simplify right side
    271,004.88x = 66,620,740,060.13
  5. Step 5: Solve for x
    x = 66,620,740,060.13/271,004.88
  6. Step 6: Final answer
    x = 245,828.56

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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.