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Finding the Fourth Proportional to 264,910.40, 397,365.60 and 115,125.20

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Solution

The fourth proportional to 264,910.40, 397,365.60 and 115,125.20 is: 172,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,910.40 : 397,365.60 = 115,125.20 : x
  2. Step 2: Convert to fraction form
    264,910.40/397,365.60 = 115,125.20/x
  3. Step 3: Cross multiply
    264,910.40x = 397,365.60 × 115,125.20
  4. Step 4: Simplify right side
    264,910.40x = 45,746,794,173.12
  5. Step 5: Solve for x
    x = 45,746,794,173.12/264,910.40
  6. Step 6: Final answer
    x = 172,687.80

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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.