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Finding the Fourth Proportional to 252,563.35, 378,853.23 and 132,590

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Solution

The fourth proportional to 252,563.35, 378,853.23 and 132,590 is: 198,889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,563.35 : 378,853.23 = 132,590 : x
  2. Step 2: Convert to fraction form
    252,563.35/378,853.23 = 132,590/x
  3. Step 3: Cross multiply
    252,563.35x = 378,853.23 × 132,590
  4. Step 4: Simplify right side
    252,563.35x = 50,232,149,765.70
  5. Step 5: Solve for x
    x = 50,232,149,765.70/252,563.35
  6. Step 6: Final answer
    x = 198,889.31

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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.