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Finding the Fourth Proportional to 181,257.95, 271,992.25 and 74,652.64

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Solution

The fourth proportional to 181,257.95, 271,992.25 and 74,652.64 is: 112,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,257.95 : 271,992.25 = 74,652.64 : x
  2. Step 2: Convert to fraction form
    181,257.95/271,992.25 = 74,652.64/x
  3. Step 3: Cross multiply
    181,257.95x = 271,992.25 × 74,652.64
  4. Step 4: Simplify right side
    181,257.95x = 20,304,938,162.08
  5. Step 5: Solve for x
    x = 20,304,938,162.08/181,257.95
  6. Step 6: Final answer
    x = 112,022.33

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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.