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Finding the Fourth Proportional to 271,180.51, 406,774.23 and 186,918.06

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Solution

The fourth proportional to 271,180.51, 406,774.23 and 186,918.06 is: 280,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,180.51 : 406,774.23 = 186,918.06 : x
  2. Step 2: Convert to fraction form
    271,180.51/406,774.23 = 186,918.06/x
  3. Step 3: Cross multiply
    271,180.51x = 406,774.23 × 186,918.06
  4. Step 4: Simplify right side
    271,180.51x = 76,033,447,847.60
  5. Step 5: Solve for x
    x = 76,033,447,847.60/271,180.51
  6. Step 6: Final answer
    x = 280,379.47

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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.