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Finding the Fourth Proportional to 178,193.80, 266,918.10 and 83,504.80

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Solution

The fourth proportional to 178,193.80, 266,918.10 and 83,504.80 is: 125,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,193.80 : 266,918.10 = 83,504.80 : x
  2. Step 2: Convert to fraction form
    178,193.80/266,918.10 = 83,504.80/x
  3. Step 3: Cross multiply
    178,193.80x = 266,918.10 × 83,504.80
  4. Step 4: Simplify right side
    178,193.80x = 22,288,942,556.88
  5. Step 5: Solve for x
    x = 22,288,942,556.88/178,193.80
  6. Step 6: Final answer
    x = 125,082.59

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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.