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Finding the Fourth Proportional to 267,765.83, 401,662.10 and 87,835.26

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Solution

The fourth proportional to 267,765.83, 401,662.10 and 87,835.26 is: 131,757.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,765.83 : 401,662.10 = 87,835.26 : x
  2. Step 2: Convert to fraction form
    267,765.83/401,662.10 = 87,835.26/x
  3. Step 3: Cross multiply
    267,765.83x = 401,662.10 × 87,835.26
  4. Step 4: Simplify right side
    267,765.83x = 35,280,094,546.47
  5. Step 5: Solve for x
    x = 35,280,094,546.47/267,765.83
  6. Step 6: Final answer
    x = 131,757.27

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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.