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Finding the Fourth Proportional to 200,564.57, 276,773.20 and 109,918.55

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Solution

The fourth proportional to 200,564.57, 276,773.20 and 109,918.55 is: 151,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,564.57 : 276,773.20 = 109,918.55 : x
  2. Step 2: Convert to fraction form
    200,564.57/276,773.20 = 109,918.55/x
  3. Step 3: Cross multiply
    200,564.57x = 276,773.20 × 109,918.55
  4. Step 4: Simplify right side
    200,564.57x = 30,422,507,164.20
  5. Step 5: Solve for x
    x = 30,422,507,164.20/200,564.57
  6. Step 6: Final answer
    x = 151,684.36

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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.