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Finding the Fourth Proportional to 267,627.36, 401,508.54 and 188,895.36

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Solution

The fourth proportional to 267,627.36, 401,508.54 and 188,895.36 is: 283,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,627.36 : 401,508.54 = 188,895.36 : x
  2. Step 2: Convert to fraction form
    267,627.36/401,508.54 = 188,895.36/x
  3. Step 3: Cross multiply
    267,627.36x = 401,508.54 × 188,895.36
  4. Step 4: Simplify right side
    267,627.36x = 75,843,100,206.37
  5. Step 5: Solve for x
    x = 75,843,100,206.37/267,627.36
  6. Step 6: Final answer
    x = 283,390.68

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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.