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Finding the Fourth Proportional to 164,633.50, 227,194.23 and 89,182

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Solution

The fourth proportional to 164,633.50, 227,194.23 and 89,182 is: 123,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,633.50 : 227,194.23 = 89,182 : x
  2. Step 2: Convert to fraction form
    164,633.50/227,194.23 = 89,182/x
  3. Step 3: Cross multiply
    164,633.50x = 227,194.23 × 89,182
  4. Step 4: Simplify right side
    164,633.50x = 20,261,635,819.86
  5. Step 5: Solve for x
    x = 20,261,635,819.86/164,633.50
  6. Step 6: Final answer
    x = 123,071.16

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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.