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Finding the Fourth Proportional to 265,881.37, 366,921.24 and 145,027

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Solution

The fourth proportional to 265,881.37, 366,921.24 and 145,027 is: 200,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,881.37 : 366,921.24 = 145,027 : x
  2. Step 2: Convert to fraction form
    265,881.37/366,921.24 = 145,027/x
  3. Step 3: Cross multiply
    265,881.37x = 366,921.24 × 145,027
  4. Step 4: Simplify right side
    265,881.37x = 53,213,486,673.48
  5. Step 5: Solve for x
    x = 53,213,486,673.48/265,881.37
  6. Step 6: Final answer
    x = 200,139.96

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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.