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Finding the Fourth Proportional to 161,457.50, 222,791.28 and 89,832.44

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Solution

The fourth proportional to 161,457.50, 222,791.28 and 89,832.44 is: 123,957.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,457.50 : 222,791.28 = 89,832.44 : x
  2. Step 2: Convert to fraction form
    161,457.50/222,791.28 = 89,832.44/x
  3. Step 3: Cross multiply
    161,457.50x = 222,791.28 × 89,832.44
  4. Step 4: Simplify right side
    161,457.50x = 20,013,883,179.17
  5. Step 5: Solve for x
    x = 20,013,883,179.17/161,457.50
  6. Step 6: Final answer
    x = 123,957.60

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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.