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Finding the Fourth Proportional to 271,523.81, 406,755.93 and 177,745.25

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Solution

The fourth proportional to 271,523.81, 406,755.93 and 177,745.25 is: 266,271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,523.81 : 406,755.93 = 177,745.25 : x
  2. Step 2: Convert to fraction form
    271,523.81/406,755.93 = 177,745.25/x
  3. Step 3: Cross multiply
    271,523.81x = 406,755.93 × 177,745.25
  4. Step 4: Simplify right side
    271,523.81x = 72,298,934,466.83
  5. Step 5: Solve for x
    x = 72,298,934,466.83/271,523.81
  6. Step 6: Final answer
    x = 266,271.07

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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.