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Finding the Fourth Proportional to 143,138.52, 197,540.10 and 82,720.20

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Solution

The fourth proportional to 143,138.52, 197,540.10 and 82,720.20 is: 114,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,138.52 : 197,540.10 = 82,720.20 : x
  2. Step 2: Convert to fraction form
    143,138.52/197,540.10 = 82,720.20/x
  3. Step 3: Cross multiply
    143,138.52x = 197,540.10 × 82,720.20
  4. Step 4: Simplify right side
    143,138.52x = 16,340,556,580.02
  5. Step 5: Solve for x
    x = 16,340,556,580.02/143,138.52
  6. Step 6: Final answer
    x = 114,159.04

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