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Finding the Fourth Proportional to 197,203.61, 295,805.42 and 180,096.41

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Solution

The fourth proportional to 197,203.61, 295,805.42 and 180,096.41 is: 270,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,203.61 : 295,805.42 = 180,096.41 : x
  2. Step 2: Convert to fraction form
    197,203.61/295,805.42 = 180,096.41/x
  3. Step 3: Cross multiply
    197,203.61x = 295,805.42 × 180,096.41
  4. Step 4: Simplify right side
    197,203.61x = 53,273,494,200.54
  5. Step 5: Solve for x
    x = 53,273,494,200.54/197,203.61
  6. Step 6: Final answer
    x = 270,144.62

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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.