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Finding the Fourth Proportional to 200,550.10, 276,724.05 and 114,469.78

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Solution

The fourth proportional to 200,550.10, 276,724.05 and 114,469.78 is: 157,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,550.10 : 276,724.05 = 114,469.78 : x
  2. Step 2: Convert to fraction form
    200,550.10/276,724.05 = 114,469.78/x
  3. Step 3: Cross multiply
    200,550.10x = 276,724.05 × 114,469.78
  4. Step 4: Simplify right side
    200,550.10x = 31,676,541,124.21
  5. Step 5: Solve for x
    x = 31,676,541,124.21/200,550.10
  6. Step 6: Final answer
    x = 157,948.27

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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.