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Finding the Fourth Proportional to 164,658.09, 227,229.26 and 89,206.59

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Solution

The fourth proportional to 164,658.09, 227,229.26 and 89,206.59 is: 123,105.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,658.09 : 227,229.26 = 89,206.59 : x
  2. Step 2: Convert to fraction form
    164,658.09/227,229.26 = 89,206.59/x
  3. Step 3: Cross multiply
    164,658.09x = 227,229.26 × 89,206.59
  4. Step 4: Simplify right side
    164,658.09x = 20,270,346,986.79
  5. Step 5: Solve for x
    x = 20,270,346,986.79/164,658.09
  6. Step 6: Final answer
    x = 123,105.69

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