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Finding the Fourth Proportional to 143,189.46, 197,577.68 and 82,765.68

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Solution

The fourth proportional to 143,189.46, 197,577.68 and 82,765.68 is: 114,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,189.46 : 197,577.68 = 82,765.68 : x
  2. Step 2: Convert to fraction form
    143,189.46/197,577.68 = 82,765.68/x
  3. Step 3: Cross multiply
    143,189.46x = 197,577.68 × 82,765.68
  4. Step 4: Simplify right side
    143,189.46x = 16,352,651,038.02
  5. Step 5: Solve for x
    x = 16,352,651,038.02/143,189.46
  6. Step 6: Final answer
    x = 114,202.90

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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.