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Finding the Fourth Proportional to 160,918.26, 222,077.61 and 89,298.42

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Solution

The fourth proportional to 160,918.26, 222,077.61 and 89,298.42 is: 123,237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,918.26 : 222,077.61 = 89,298.42 : x
  2. Step 2: Convert to fraction form
    160,918.26/222,077.61 = 89,298.42/x
  3. Step 3: Cross multiply
    160,918.26x = 222,077.61 × 89,298.42
  4. Step 4: Simplify right side
    160,918.26x = 19,831,179,690.38
  5. Step 5: Solve for x
    x = 19,831,179,690.38/160,918.26
  6. Step 6: Final answer
    x = 123,237.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.