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Finding the Fourth Proportional to 267,546.60, 400,859.10 and 140,999.40

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Solution

The fourth proportional to 267,546.60, 400,859.10 and 140,999.40 is: 211,256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,546.60 : 400,859.10 = 140,999.40 : x
  2. Step 2: Convert to fraction form
    267,546.60/400,859.10 = 140,999.40/x
  3. Step 3: Cross multiply
    267,546.60x = 400,859.10 × 140,999.40
  4. Step 4: Simplify right side
    267,546.60x = 56,520,892,584.54
  5. Step 5: Solve for x
    x = 56,520,892,584.54/267,546.60
  6. Step 6: Final answer
    x = 211,256.25

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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.