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Finding the Fourth Proportional to 164,542.98, 246,823.70 and 46,205.09

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Solution

The fourth proportional to 164,542.98, 246,823.70 and 46,205.09 is: 69,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,542.98 : 246,823.70 = 46,205.09 : x
  2. Step 2: Convert to fraction form
    164,542.98/246,823.70 = 46,205.09/x
  3. Step 3: Cross multiply
    164,542.98x = 246,823.70 × 46,205.09
  4. Step 4: Simplify right side
    164,542.98x = 11,404,511,157.12
  5. Step 5: Solve for x
    x = 11,404,511,157.12/164,542.98
  6. Step 6: Final answer
    x = 69,310.23

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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.