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Finding the Fourth Proportional to 161,205.64, 222,459.34 and 89,583.84

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Solution

The fourth proportional to 161,205.64, 222,459.34 and 89,583.84 is: 123,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,205.64 : 222,459.34 = 89,583.84 : x
  2. Step 2: Convert to fraction form
    161,205.64/222,459.34 = 89,583.84/x
  3. Step 3: Cross multiply
    161,205.64x = 222,459.34 × 89,583.84
  4. Step 4: Simplify right side
    161,205.64x = 19,928,761,921.07
  5. Step 5: Solve for x
    x = 19,928,761,921.07/161,205.64
  6. Step 6: Final answer
    x = 123,623.23

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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.