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Finding the Fourth Proportional to 200,469.10, 276,425.72 and 127,756.87

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Solution

The fourth proportional to 200,469.10, 276,425.72 and 127,756.87 is: 176,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,469.10 : 276,425.72 = 127,756.87 : x
  2. Step 2: Convert to fraction form
    200,469.10/276,425.72 = 127,756.87/x
  3. Step 3: Cross multiply
    200,469.10x = 276,425.72 × 127,756.87
  4. Step 4: Simplify right side
    200,469.10x = 35,315,284,791.21
  5. Step 5: Solve for x
    x = 35,315,284,791.21/200,469.10
  6. Step 6: Final answer
    x = 176,163.23

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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.