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Finding the Fourth Proportional to 182,902.70, 252,415.52 and 102,325.42

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Solution

The fourth proportional to 182,902.70, 252,415.52 and 102,325.42 is: 141,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,902.70 : 252,415.52 = 102,325.42 : x
  2. Step 2: Convert to fraction form
    182,902.70/252,415.52 = 102,325.42/x
  3. Step 3: Cross multiply
    182,902.70x = 252,415.52 × 102,325.42
  4. Step 4: Simplify right side
    182,902.70x = 25,828,524,098.52
  5. Step 5: Solve for x
    x = 25,828,524,098.52/182,902.70
  6. Step 6: Final answer
    x = 141,214.56

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Why These Related Problems?

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