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Finding the Fourth Proportional to 161,082.44, 222,258.42 and 97,418.86

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Solution

The fourth proportional to 161,082.44, 222,258.42 and 97,418.86 is: 134,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,082.44 : 222,258.42 = 97,418.86 : x
  2. Step 2: Convert to fraction form
    161,082.44/222,258.42 = 97,418.86/x
  3. Step 3: Cross multiply
    161,082.44x = 222,258.42 × 97,418.86
  4. Step 4: Simplify right side
    161,082.44x = 21,652,161,901.80
  5. Step 5: Solve for x
    x = 21,652,161,901.80/161,082.44
  6. Step 6: Final answer
    x = 134,416.65

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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.