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Finding the Fourth Proportional to 275,316.30, 380,006.34 and 188,136.71

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Solution

The fourth proportional to 275,316.30, 380,006.34 and 188,136.71 is: 259,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,316.30 : 380,006.34 = 188,136.71 : x
  2. Step 2: Convert to fraction form
    275,316.30/380,006.34 = 188,136.71/x
  3. Step 3: Cross multiply
    275,316.30x = 380,006.34 × 188,136.71
  4. Step 4: Simplify right side
    275,316.30x = 71,493,141,406.22
  5. Step 5: Solve for x
    x = 71,493,141,406.22/275,316.30
  6. Step 6: Final answer
    x = 259,676.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.