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Finding the Fourth Proportional to 265,105.44, 365,840.82 and 144,242.64

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Solution

The fourth proportional to 265,105.44, 365,840.82 and 144,242.64 is: 199,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,105.44 : 365,840.82 = 144,242.64 : x
  2. Step 2: Convert to fraction form
    265,105.44/365,840.82 = 144,242.64/x
  3. Step 3: Cross multiply
    265,105.44x = 365,840.82 × 144,242.64
  4. Step 4: Simplify right side
    265,105.44x = 52,769,845,696.56
  5. Step 5: Solve for x
    x = 52,769,845,696.56/265,105.44
  6. Step 6: Final answer
    x = 199,052.29

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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.