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Finding the Fourth Proportional to 312,069.24, 467,822.87 and 112,249.17

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Solution

The fourth proportional to 312,069.24, 467,822.87 and 112,249.17 is: 168,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,069.24 : 467,822.87 = 112,249.17 : x
  2. Step 2: Convert to fraction form
    312,069.24/467,822.87 = 112,249.17/x
  3. Step 3: Cross multiply
    312,069.24x = 467,822.87 × 112,249.17
  4. Step 4: Simplify right side
    312,069.24x = 52,512,728,303.27
  5. Step 5: Solve for x
    x = 52,512,728,303.27/312,069.24
  6. Step 6: Final answer
    x = 168,272.68

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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.