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Finding the Fourth Proportional to 265,094.63, 365,819.64 and 144,236.41

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Solution

The fourth proportional to 265,094.63, 365,819.64 and 144,236.41 is: 199,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,094.63 : 365,819.64 = 144,236.41 : x
  2. Step 2: Convert to fraction form
    265,094.63/365,819.64 = 144,236.41/x
  3. Step 3: Cross multiply
    265,094.63x = 365,819.64 × 144,236.41
  4. Step 4: Simplify right side
    265,094.63x = 52,764,511,581.09
  5. Step 5: Solve for x
    x = 52,764,511,581.09/265,094.63
  6. Step 6: Final answer
    x = 199,040.29

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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.