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Finding the Fourth Proportional to 271,029.45, 406,608.77 and 93,538

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Solution

The fourth proportional to 271,029.45, 406,608.77 and 93,538 is: 140,329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,029.45 : 406,608.77 = 93,538 : x
  2. Step 2: Convert to fraction form
    271,029.45/406,608.77 = 93,538/x
  3. Step 3: Cross multiply
    271,029.45x = 406,608.77 × 93,538
  4. Step 4: Simplify right side
    271,029.45x = 38,033,371,128.26
  5. Step 5: Solve for x
    x = 38,033,371,128.26/271,029.45
  6. Step 6: Final answer
    x = 140,329.29

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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.