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Finding the Fourth Proportional to 180,258.69, 270,242.22 and 110,114.31

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Solution

The fourth proportional to 180,258.69, 270,242.22 and 110,114.31 is: 165,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,258.69 : 270,242.22 = 110,114.31 : x
  2. Step 2: Convert to fraction form
    180,258.69/270,242.22 = 110,114.31/x
  3. Step 3: Cross multiply
    180,258.69x = 270,242.22 × 110,114.31
  4. Step 4: Simplify right side
    180,258.69x = 29,757,534,236.96
  5. Step 5: Solve for x
    x = 29,757,534,236.96/180,258.69
  6. Step 6: Final answer
    x = 165,082.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.