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Finding the Fourth Proportional to 252,352.92, 378,202.38 and 102,511.47

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Solution

The fourth proportional to 252,352.92, 378,202.38 and 102,511.47 is: 153,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,352.92 : 378,202.38 = 102,511.47 : x
  2. Step 2: Convert to fraction form
    252,352.92/378,202.38 = 102,511.47/x
  3. Step 3: Cross multiply
    252,352.92x = 378,202.38 × 102,511.47
  4. Step 4: Simplify right side
    252,352.92x = 38,770,081,931.30
  5. Step 5: Solve for x
    x = 38,770,081,931.30/252,352.92
  6. Step 6: Final answer
    x = 153,634.37

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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.