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Finding the Fourth Proportional to 181,856.69, 272,784.92 and 85,771.56

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Solution

The fourth proportional to 181,856.69, 272,784.92 and 85,771.56 is: 128,657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,856.69 : 272,784.92 = 85,771.56 : x
  2. Step 2: Convert to fraction form
    181,856.69/272,784.92 = 85,771.56/x
  3. Step 3: Cross multiply
    181,856.69x = 272,784.92 × 85,771.56
  4. Step 4: Simplify right side
    181,856.69x = 23,397,188,132.88
  5. Step 5: Solve for x
    x = 23,397,188,132.88/181,856.69
  6. Step 6: Final answer
    x = 128,657.29

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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.