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Finding the Fourth Proportional to 181,998.76, 272,997.82 and 82,193.96

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Solution

The fourth proportional to 181,998.76, 272,997.82 and 82,193.96 is: 123,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,998.76 : 272,997.82 = 82,193.96 : x
  2. Step 2: Convert to fraction form
    181,998.76/272,997.82 = 82,193.96/x
  3. Step 3: Cross multiply
    181,998.76x = 272,997.82 × 82,193.96
  4. Step 4: Simplify right side
    181,998.76x = 22,438,771,897.17
  5. Step 5: Solve for x
    x = 22,438,771,897.17/181,998.76
  6. Step 6: Final answer
    x = 123,290.80

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1.5x scale

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.