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Finding the Fourth Proportional to 312,216.13, 468,324.21 and 75,558.82

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Solution

The fourth proportional to 312,216.13, 468,324.21 and 75,558.82 is: 113,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,216.13 : 468,324.21 = 75,558.82 : x
  2. Step 2: Convert to fraction form
    312,216.13/468,324.21 = 75,558.82/x
  3. Step 3: Cross multiply
    312,216.13x = 468,324.21 × 75,558.82
  4. Step 4: Simplify right side
    312,216.13x = 35,386,024,685.03
  5. Step 5: Solve for x
    x = 35,386,024,685.03/312,216.13
  6. Step 6: Final answer
    x = 113,338.23

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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.