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Finding the Fourth Proportional to 161,194.41, 222,383.32 and 97,421.49

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Solution

The fourth proportional to 161,194.41, 222,383.32 and 97,421.49 is: 134,402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,194.41 : 222,383.32 = 97,421.49 : x
  2. Step 2: Convert to fraction form
    161,194.41/222,383.32 = 97,421.49/x
  3. Step 3: Cross multiply
    161,194.41x = 222,383.32 × 97,421.49
  4. Step 4: Simplify right side
    161,194.41x = 21,664,914,385.55
  5. Step 5: Solve for x
    x = 21,664,914,385.55/161,194.41
  6. Step 6: Final answer
    x = 134,402.39

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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.