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Finding the Fourth Proportional to 143,242.67, 197,663.32 and 82,817.21

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Solution

The fourth proportional to 143,242.67, 197,663.32 and 82,817.21 is: 114,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,242.67 : 197,663.32 = 82,817.21 : x
  2. Step 2: Convert to fraction form
    143,242.67/197,663.32 = 82,817.21/x
  3. Step 3: Cross multiply
    143,242.67x = 197,663.32 × 82,817.21
  4. Step 4: Simplify right side
    143,242.67x = 16,369,924,968.85
  5. Step 5: Solve for x
    x = 16,369,924,968.85/143,242.67
  6. Step 6: Final answer
    x = 114,281.06

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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.