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Finding the Fourth Proportional to 267,620.36, 401,391.32 and 78,029.80

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Solution

The fourth proportional to 267,620.36, 401,391.32 and 78,029.80 is: 117,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,620.36 : 401,391.32 = 78,029.80 : x
  2. Step 2: Convert to fraction form
    267,620.36/401,391.32 = 78,029.80/x
  3. Step 3: Cross multiply
    267,620.36x = 401,391.32 × 78,029.80
  4. Step 4: Simplify right side
    267,620.36x = 31,320,483,027.71
  5. Step 5: Solve for x
    x = 31,320,483,027.71/267,620.36
  6. Step 6: Final answer
    x = 117,033.26

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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.