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Finding the Fourth Proportional to 177,458.08, 244,932.24 and 120,892

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Solution

The fourth proportional to 177,458.08, 244,932.24 and 120,892 is: 166,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,458.08 : 244,932.24 = 120,892 : x
  2. Step 2: Convert to fraction form
    177,458.08/244,932.24 = 120,892/x
  3. Step 3: Cross multiply
    177,458.08x = 244,932.24 × 120,892
  4. Step 4: Simplify right side
    177,458.08x = 29,610,348,358.08
  5. Step 5: Solve for x
    x = 29,610,348,358.08/177,458.08
  6. Step 6: Final answer
    x = 166,858.27

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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.