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Finding the Fourth Proportional to 275,273.12, 412,950.72 and 97,765.22

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Solution

The fourth proportional to 275,273.12, 412,950.72 and 97,765.22 is: 146,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,273.12 : 412,950.72 = 97,765.22 : x
  2. Step 2: Convert to fraction form
    275,273.12/412,950.72 = 97,765.22/x
  3. Step 3: Cross multiply
    275,273.12x = 412,950.72 × 97,765.22
  4. Step 4: Simplify right side
    275,273.12x = 40,372,217,989.96
  5. Step 5: Solve for x
    x = 40,372,217,989.96/275,273.12
  6. Step 6: Final answer
    x = 146,662.41

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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.