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Finding the Fourth Proportional to 307,356.96, 461,035.44 and 82,717.90

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Solution

The fourth proportional to 307,356.96, 461,035.44 and 82,717.90 is: 124,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,356.96 : 461,035.44 = 82,717.90 : x
  2. Step 2: Convert to fraction form
    307,356.96/461,035.44 = 82,717.90/x
  3. Step 3: Cross multiply
    307,356.96x = 461,035.44 × 82,717.90
  4. Step 4: Simplify right side
    307,356.96x = 38,135,883,422.38
  5. Step 5: Solve for x
    x = 38,135,883,422.38/307,356.96
  6. Step 6: Final answer
    x = 124,076.85

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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.