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Finding the Fourth Proportional to 265,102.92, 365,837.94 and 144,241.38

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Solution

The fourth proportional to 265,102.92, 365,837.94 and 144,241.38 is: 199,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,102.92 : 365,837.94 = 144,241.38 : x
  2. Step 2: Convert to fraction form
    265,102.92/365,837.94 = 144,241.38/x
  3. Step 3: Cross multiply
    265,102.92x = 365,837.94 × 144,241.38
  4. Step 4: Simplify right side
    265,102.92x = 52,768,969,321.96
  5. Step 5: Solve for x
    x = 52,768,969,321.96/265,102.92
  6. Step 6: Final answer
    x = 199,050.88

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Why These Related Problems?

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