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Finding the Fourth Proportional to 252,138.80, 378,208.20 and 229,977.20

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Solution

The fourth proportional to 252,138.80, 378,208.20 and 229,977.20 is: 344,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,138.80 : 378,208.20 = 229,977.20 : x
  2. Step 2: Convert to fraction form
    252,138.80/378,208.20 = 229,977.20/x
  3. Step 3: Cross multiply
    252,138.80x = 378,208.20 × 229,977.20
  4. Step 4: Simplify right side
    252,138.80x = 86,979,262,853.04
  5. Step 5: Solve for x
    x = 86,979,262,853.04/252,138.80
  6. Step 6: Final answer
    x = 344,965.80

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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.