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Finding the Fourth Proportional to 181,309.86, 271,967.29 and 48,189.44

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Solution

The fourth proportional to 181,309.86, 271,967.29 and 48,189.44 is: 72,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,309.86 : 271,967.29 = 48,189.44 : x
  2. Step 2: Convert to fraction form
    181,309.86/271,967.29 = 48,189.44/x
  3. Step 3: Cross multiply
    181,309.86x = 271,967.29 × 48,189.44
  4. Step 4: Simplify right side
    181,309.86x = 13,105,951,962.86
  5. Step 5: Solve for x
    x = 13,105,951,962.86/181,309.86
  6. Step 6: Final answer
    x = 72,284.83

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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.