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Finding the Fourth Proportional to 161,189, 222,436.40 and 89,567.18

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Solution

The fourth proportional to 161,189, 222,436.40 and 89,567.18 is: 123,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,189 : 222,436.40 = 89,567.18 : x
  2. Step 2: Convert to fraction form
    161,189/222,436.40 = 89,567.18/x
  3. Step 3: Cross multiply
    161,189x = 222,436.40 × 89,567.18
  4. Step 4: Simplify right side
    161,189x = 19,923,001,077.35
  5. Step 5: Solve for x
    x = 19,923,001,077.35/161,189
  6. Step 6: Final answer
    x = 123,600.25

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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.