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Finding the Fourth Proportional to 271,009.26, 406,070.40 and 164,069.07

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Solution

The fourth proportional to 271,009.26, 406,070.40 and 164,069.07 is: 245,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,009.26 : 406,070.40 = 164,069.07 : x
  2. Step 2: Convert to fraction form
    271,009.26/406,070.40 = 164,069.07/x
  3. Step 3: Cross multiply
    271,009.26x = 406,070.40 × 164,069.07
  4. Step 4: Simplify right side
    271,009.26x = 66,623,592,882.53
  5. Step 5: Solve for x
    x = 66,623,592,882.53/271,009.26
  6. Step 6: Final answer
    x = 245,835.12

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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.