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Finding the Fourth Proportional to 307,395.57, 461,092.94 and 82,756.25

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Solution

The fourth proportional to 307,395.57, 461,092.94 and 82,756.25 is: 124,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,395.57 : 461,092.94 = 82,756.25 : x
  2. Step 2: Convert to fraction form
    307,395.57/461,092.94 = 82,756.25/x
  3. Step 3: Cross multiply
    307,395.57x = 461,092.94 × 82,756.25
  4. Step 4: Simplify right side
    307,395.57x = 38,158,321,936.06
  5. Step 5: Solve for x
    x = 38,158,321,936.06/307,395.57
  6. Step 6: Final answer
    x = 124,134.26

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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.