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Finding the Fourth Proportional to 200,201.40, 276,157.83 and 132,218.49

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Solution

The fourth proportional to 200,201.40, 276,157.83 and 132,218.49 is: 182,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,201.40 : 276,157.83 = 132,218.49 : x
  2. Step 2: Convert to fraction form
    200,201.40/276,157.83 = 132,218.49/x
  3. Step 3: Cross multiply
    200,201.40x = 276,157.83 × 132,218.49
  4. Step 4: Simplify right side
    200,201.40x = 36,513,171,284.28
  5. Step 5: Solve for x
    x = 36,513,171,284.28/200,201.40
  6. Step 6: Final answer
    x = 182,382.20

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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.