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Finding the Fourth Proportional to 164,647.72, 227,213.96 and 89,196.24

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Solution

The fourth proportional to 164,647.72, 227,213.96 and 89,196.24 is: 123,090.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,647.72 : 227,213.96 = 89,196.24 : x
  2. Step 2: Convert to fraction form
    164,647.72/227,213.96 = 89,196.24/x
  3. Step 3: Cross multiply
    164,647.72x = 227,213.96 × 89,196.24
  4. Step 4: Simplify right side
    164,647.72x = 20,266,630,907.51
  5. Step 5: Solve for x
    x = 20,266,630,907.51/164,647.72
  6. Step 6: Final answer
    x = 123,090.87

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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.