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Finding the Fourth Proportional to 182,882.31, 252,365.73 and 102,296.03

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Solution

The fourth proportional to 182,882.31, 252,365.73 and 102,296.03 is: 141,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,882.31 : 252,365.73 = 102,296.03 : x
  2. Step 2: Convert to fraction form
    182,882.31/252,365.73 = 102,296.03/x
  3. Step 3: Cross multiply
    182,882.31x = 252,365.73 × 102,296.03
  4. Step 4: Simplify right side
    182,882.31x = 25,816,011,025.22
  5. Step 5: Solve for x
    x = 25,816,011,025.22/182,882.31
  6. Step 6: Final answer
    x = 141,161.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.