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Finding the Fourth Proportional to 181,532.28, 272,298.54 and 56,883

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Solution

The fourth proportional to 181,532.28, 272,298.54 and 56,883 is: 85,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,532.28 : 272,298.54 = 56,883 : x
  2. Step 2: Convert to fraction form
    181,532.28/272,298.54 = 56,883/x
  3. Step 3: Cross multiply
    181,532.28x = 272,298.54 × 56,883
  4. Step 4: Simplify right side
    181,532.28x = 15,489,157,850.82
  5. Step 5: Solve for x
    x = 15,489,157,850.82/181,532.28
  6. Step 6: Final answer
    x = 85,324.54

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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.