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Finding the Fourth Proportional to 165,137.22, 227,890.53 and 89,685.72

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Solution

The fourth proportional to 165,137.22, 227,890.53 and 89,685.72 is: 123,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,137.22 : 227,890.53 = 89,685.72 : x
  2. Step 2: Convert to fraction form
    165,137.22/227,890.53 = 89,685.72/x
  3. Step 3: Cross multiply
    165,137.22x = 227,890.53 × 89,685.72
  4. Step 4: Simplify right side
    165,137.22x = 20,438,526,264.23
  5. Step 5: Solve for x
    x = 20,438,526,264.23/165,137.22
  6. Step 6: Final answer
    x = 123,766.93

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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.