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Finding the Fourth Proportional to 164,546.88, 246,829.89 and 46,227.45

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Solution

The fourth proportional to 164,546.88, 246,829.89 and 46,227.45 is: 69,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,546.88 : 246,829.89 = 46,227.45 : x
  2. Step 2: Convert to fraction form
    164,546.88/246,829.89 = 46,227.45/x
  3. Step 3: Cross multiply
    164,546.88x = 246,829.89 × 46,227.45
  4. Step 4: Simplify right side
    164,546.88x = 11,410,315,299.52
  5. Step 5: Solve for x
    x = 11,410,315,299.52/164,546.88
  6. Step 6: Final answer
    x = 69,343.86

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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.