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Finding the Fourth Proportional to 265,103.40, 365,842.53 and 144,244.56

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Solution

The fourth proportional to 265,103.40, 365,842.53 and 144,244.56 is: 199,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,103.40 : 365,842.53 = 144,244.56 : x
  2. Step 2: Convert to fraction form
    265,103.40/365,842.53 = 144,244.56/x
  3. Step 3: Cross multiply
    265,103.40x = 365,842.53 × 144,244.56
  4. Step 4: Simplify right side
    265,103.40x = 52,770,794,769.14
  5. Step 5: Solve for x
    x = 52,770,794,769.14/265,103.40
  6. Step 6: Final answer
    x = 199,057.40

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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.