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Finding the Fourth Proportional to 165,333.97, 248,013.77 and 51,467.48

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Solution

The fourth proportional to 165,333.97, 248,013.77 and 51,467.48 is: 77,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,333.97 : 248,013.77 = 51,467.48 : x
  2. Step 2: Convert to fraction form
    165,333.97/248,013.77 = 51,467.48/x
  3. Step 3: Cross multiply
    165,333.97x = 248,013.77 × 51,467.48
  4. Step 4: Simplify right side
    165,333.97x = 12,764,642,916.56
  5. Step 5: Solve for x
    x = 12,764,642,916.56/165,333.97
  6. Step 6: Final answer
    x = 77,205.20

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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.