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Finding the Fourth Proportional to 312,163.86, 468,266.94 and 109,735.32

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Solution

The fourth proportional to 312,163.86, 468,266.94 and 109,735.32 is: 164,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,163.86 : 468,266.94 = 109,735.32 : x
  2. Step 2: Convert to fraction form
    312,163.86/468,266.94 = 109,735.32/x
  3. Step 3: Cross multiply
    312,163.86x = 468,266.94 × 109,735.32
  4. Step 4: Simplify right side
    312,163.86x = 51,385,422,506.32
  5. Step 5: Solve for x
    x = 51,385,422,506.32/312,163.86
  6. Step 6: Final answer
    x = 164,610.41

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1.5x scale

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.