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Finding the Fourth Proportional to 181,380.73, 272,071.73 and 55,022.07

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Solution

The fourth proportional to 181,380.73, 272,071.73 and 55,022.07 is: 82,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,380.73 : 272,071.73 = 55,022.07 : x
  2. Step 2: Convert to fraction form
    181,380.73/272,071.73 = 55,022.07/x
  3. Step 3: Cross multiply
    181,380.73x = 272,071.73 × 55,022.07
  4. Step 4: Simplify right side
    181,380.73x = 14,969,949,773.08
  5. Step 5: Solve for x
    x = 14,969,949,773.08/181,380.73
  6. Step 6: Final answer
    x = 82,533.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.