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Finding the Fourth Proportional to 165,099.50, 227,837.31 and 89,648

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Solution

The fourth proportional to 165,099.50, 227,837.31 and 89,648 is: 123,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,099.50 : 227,837.31 = 89,648 : x
  2. Step 2: Convert to fraction form
    165,099.50/227,837.31 = 89,648/x
  3. Step 3: Cross multiply
    165,099.50x = 227,837.31 × 89,648
  4. Step 4: Simplify right side
    165,099.50x = 20,425,159,166.88
  5. Step 5: Solve for x
    x = 20,425,159,166.88/165,099.50
  6. Step 6: Final answer
    x = 123,714.24

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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.