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Finding the Fourth Proportional to 252,607.89, 378,982.91 and 110,465.64

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Solution

The fourth proportional to 252,607.89, 378,982.91 and 110,465.64 is: 165,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,607.89 : 378,982.91 = 110,465.64 : x
  2. Step 2: Convert to fraction form
    252,607.89/378,982.91 = 110,465.64/x
  3. Step 3: Cross multiply
    252,607.89x = 378,982.91 × 110,465.64
  4. Step 4: Simplify right side
    252,607.89x = 41,864,589,702.21
  5. Step 5: Solve for x
    x = 41,864,589,702.21/252,607.89
  6. Step 6: Final answer
    x = 165,729.54

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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.