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Finding the Fourth Proportional to 252,269.36, 378,440.52 and 83,732.48

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Solution

The fourth proportional to 252,269.36, 378,440.52 and 83,732.48 is: 125,610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,269.36 : 378,440.52 = 83,732.48 : x
  2. Step 2: Convert to fraction form
    252,269.36/378,440.52 = 83,732.48/x
  3. Step 3: Cross multiply
    252,269.36x = 378,440.52 × 83,732.48
  4. Step 4: Simplify right side
    252,269.36x = 31,687,763,272.09
  5. Step 5: Solve for x
    x = 31,687,763,272.09/252,269.36
  6. Step 6: Final answer
    x = 125,610.83

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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.