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Finding the Fourth Proportional to 161,049.84, 222,254.34 and 89,431.05

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Solution

The fourth proportional to 161,049.84, 222,254.34 and 89,431.05 is: 123,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,049.84 : 222,254.34 = 89,431.05 : x
  2. Step 2: Convert to fraction form
    161,049.84/222,254.34 = 89,431.05/x
  3. Step 3: Cross multiply
    161,049.84x = 222,254.34 × 89,431.05
  4. Step 4: Simplify right side
    161,049.84x = 19,876,438,993.26
  5. Step 5: Solve for x
    x = 19,876,438,993.26/161,049.84
  6. Step 6: Final answer
    x = 123,417.94

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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.