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Finding the Fourth Proportional to 275,197.14, 412,833.96 and 97,661.97

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Solution

The fourth proportional to 275,197.14, 412,833.96 and 97,661.97 is: 146,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,197.14 : 412,833.96 = 97,661.97 : x
  2. Step 2: Convert to fraction form
    275,197.14/412,833.96 = 97,661.97/x
  3. Step 3: Cross multiply
    275,197.14x = 412,833.96 × 97,661.97
  4. Step 4: Simplify right side
    275,197.14x = 40,318,177,816.50
  5. Step 5: Solve for x
    x = 40,318,177,816.50/275,197.14
  6. Step 6: Final answer
    x = 146,506.53

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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.