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Finding the Fourth Proportional to 181,553.45, 272,332.16 and 55,214.24

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Solution

The fourth proportional to 181,553.45, 272,332.16 and 55,214.24 is: 82,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,553.45 : 272,332.16 = 55,214.24 : x
  2. Step 2: Convert to fraction form
    181,553.45/272,332.16 = 55,214.24/x
  3. Step 3: Cross multiply
    181,553.45x = 272,332.16 × 55,214.24
  4. Step 4: Simplify right side
    181,553.45x = 15,036,613,241.96
  5. Step 5: Solve for x
    x = 15,036,613,241.96/181,553.45
  6. Step 6: Final answer
    x = 82,821.96

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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.