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Finding the Fourth Proportional to 275,171.08, 412,797.62 and 97,663.22

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Solution

The fourth proportional to 275,171.08, 412,797.62 and 97,663.22 is: 146,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,171.08 : 412,797.62 = 97,663.22 : x
  2. Step 2: Convert to fraction form
    275,171.08/412,797.62 = 97,663.22/x
  3. Step 3: Cross multiply
    275,171.08x = 412,797.62 × 97,663.22
  4. Step 4: Simplify right side
    275,171.08x = 40,315,144,777.54
  5. Step 5: Solve for x
    x = 40,315,144,777.54/275,171.08
  6. Step 6: Final answer
    x = 146,509.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.