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Finding the Fourth Proportional to 82,086.76, 122,536.56 and 72,122.24

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Solution

The fourth proportional to 82,086.76, 122,536.56 and 72,122.24 is: 107,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,086.76 : 122,536.56 = 72,122.24 : x
  2. Step 2: Convert to fraction form
    82,086.76/122,536.56 = 72,122.24/x
  3. Step 3: Cross multiply
    82,086.76x = 122,536.56 × 72,122.24
  4. Step 4: Simplify right side
    82,086.76x = 8,837,610,828.48
  5. Step 5: Solve for x
    x = 8,837,610,828.48/82,086.76
  6. Step 6: Final answer
    x = 107,661.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.