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Finding the Fourth Proportional to 200,546.57, 300,617.40 and 125,719.28

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Solution

The fourth proportional to 200,546.57, 300,617.40 and 125,719.28 is: 188,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,546.57 : 300,617.40 = 125,719.28 : x
  2. Step 2: Convert to fraction form
    200,546.57/300,617.40 = 125,719.28/x
  3. Step 3: Cross multiply
    200,546.57x = 300,617.40 × 125,719.28
  4. Step 4: Simplify right side
    200,546.57x = 37,793,401,580.39
  5. Step 5: Solve for x
    x = 37,793,401,580.39/200,546.57
  6. Step 6: Final answer
    x = 188,452.00

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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.