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Finding the Fourth Proportional to 193,165.80, 289,518.30 and 80,845.80

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Solution

The fourth proportional to 193,165.80, 289,518.30 and 80,845.80 is: 121,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,165.80 : 289,518.30 = 80,845.80 : x
  2. Step 2: Convert to fraction form
    193,165.80/289,518.30 = 80,845.80/x
  3. Step 3: Cross multiply
    193,165.80x = 289,518.30 × 80,845.80
  4. Step 4: Simplify right side
    193,165.80x = 23,406,338,578.14
  5. Step 5: Solve for x
    x = 23,406,338,578.14/193,165.80
  6. Step 6: Final answer
    x = 121,172.27

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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.