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Finding the Fourth Proportional to 265,076.82, 365,912.64 and 180,245.52

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Solution

The fourth proportional to 265,076.82, 365,912.64 and 180,245.52 is: 248,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,076.82 : 365,912.64 = 180,245.52 : x
  2. Step 2: Convert to fraction form
    265,076.82/365,912.64 = 180,245.52/x
  3. Step 3: Cross multiply
    265,076.82x = 365,912.64 × 180,245.52
  4. Step 4: Simplify right side
    265,076.82x = 65,954,114,071.37
  5. Step 5: Solve for x
    x = 65,954,114,071.37/265,076.82
  6. Step 6: Final answer
    x = 248,811.32

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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.