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Finding the Fourth Proportional to 181,447.96, 272,078.70 and 81,522.52

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Solution

The fourth proportional to 181,447.96, 272,078.70 and 81,522.52 is: 122,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,447.96 : 272,078.70 = 81,522.52 : x
  2. Step 2: Convert to fraction form
    181,447.96/272,078.70 = 81,522.52/x
  3. Step 3: Cross multiply
    181,447.96x = 272,078.70 × 81,522.52
  4. Step 4: Simplify right side
    181,447.96x = 22,180,541,262.32
  5. Step 5: Solve for x
    x = 22,180,541,262.32/181,447.96
  6. Step 6: Final answer
    x = 122,241.89

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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.