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Finding the Fourth Proportional to 132,763.98, 199,138.66 and 53,857.02

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Solution

The fourth proportional to 132,763.98, 199,138.66 and 53,857.02 is: 80,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,763.98 : 199,138.66 = 53,857.02 : x
  2. Step 2: Convert to fraction form
    132,763.98/199,138.66 = 53,857.02/x
  3. Step 3: Cross multiply
    132,763.98x = 199,138.66 × 53,857.02
  4. Step 4: Simplify right side
    132,763.98x = 10,725,014,794.39
  5. Step 5: Solve for x
    x = 10,725,014,794.39/132,763.98
  6. Step 6: Final answer
    x = 80,782.56

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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.