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Finding the Fourth Proportional to 165,226.50, 228,013.18 and 89,775

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Solution

The fourth proportional to 165,226.50, 228,013.18 and 89,775 is: 123,889.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,226.50 : 228,013.18 = 89,775 : x
  2. Step 2: Convert to fraction form
    165,226.50/228,013.18 = 89,775/x
  3. Step 3: Cross multiply
    165,226.50x = 228,013.18 × 89,775
  4. Step 4: Simplify right side
    165,226.50x = 20,469,883,010.06
  5. Step 5: Solve for x
    x = 20,469,883,010.06/165,226.50
  6. Step 6: Final answer
    x = 123,889.83

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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.