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Finding the Fourth Proportional to 181,682.81, 272,567.84 and 57,023.81

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Solution

The fourth proportional to 181,682.81, 272,567.84 and 57,023.81 is: 85,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,682.81 : 272,567.84 = 57,023.81 : x
  2. Step 2: Convert to fraction form
    181,682.81/272,567.84 = 57,023.81/x
  3. Step 3: Cross multiply
    181,682.81x = 272,567.84 × 57,023.81
  4. Step 4: Simplify right side
    181,682.81x = 15,542,856,720.27
  5. Step 5: Solve for x
    x = 15,542,856,720.27/181,682.81
  6. Step 6: Final answer
    x = 85,549.41

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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.