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Finding the Fourth Proportional to 165,107.94, 227,846.94 and 89,656.98

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Solution

The fourth proportional to 165,107.94, 227,846.94 and 89,656.98 is: 123,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,107.94 : 227,846.94 = 89,656.98 : x
  2. Step 2: Convert to fraction form
    165,107.94/227,846.94 = 89,656.98/x
  3. Step 3: Cross multiply
    165,107.94x = 227,846.94 × 89,656.98
  4. Step 4: Simplify right side
    165,107.94x = 20,428,068,542.64
  5. Step 5: Solve for x
    x = 20,428,068,542.64/165,107.94
  6. Step 6: Final answer
    x = 123,725.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.