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Finding the Fourth Proportional to 265,138.25, 365,890.85 and 145,906.25

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Solution

The fourth proportional to 265,138.25, 365,890.85 and 145,906.25 is: 201,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,138.25 : 365,890.85 = 145,906.25 : x
  2. Step 2: Convert to fraction form
    265,138.25/365,890.85 = 145,906.25/x
  3. Step 3: Cross multiply
    265,138.25x = 365,890.85 × 145,906.25
  4. Step 4: Simplify right side
    265,138.25x = 53,385,761,103.28
  5. Step 5: Solve for x
    x = 53,385,761,103.28/265,138.25
  6. Step 6: Final answer
    x = 201,350.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.