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Finding the Fourth Proportional to 164,986.88, 227,682.09 and 89,535.38

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Solution

The fourth proportional to 164,986.88, 227,682.09 and 89,535.38 is: 123,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,986.88 : 227,682.09 = 89,535.38 : x
  2. Step 2: Convert to fraction form
    164,986.88/227,682.09 = 89,535.38/x
  3. Step 3: Cross multiply
    164,986.88x = 227,682.09 × 89,535.38
  4. Step 4: Simplify right side
    164,986.88x = 20,385,601,308.93
  5. Step 5: Solve for x
    x = 20,385,601,308.93/164,986.88
  6. Step 6: Final answer
    x = 123,558.93

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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.