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Finding the Fourth Proportional to 181,071.30, 271,605.60 and 54,711.30

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Solution

The fourth proportional to 181,071.30, 271,605.60 and 54,711.30 is: 82,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,071.30 : 271,605.60 = 54,711.30 : x
  2. Step 2: Convert to fraction form
    181,071.30/271,605.60 = 54,711.30/x
  3. Step 3: Cross multiply
    181,071.30x = 271,605.60 × 54,711.30
  4. Step 4: Simplify right side
    181,071.30x = 14,859,895,463.28
  5. Step 5: Solve for x
    x = 14,859,895,463.28/181,071.30
  6. Step 6: Final answer
    x = 82,066.54

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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.