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Finding the Fourth Proportional to 265,105.89, 365,725.26 and 157,614.84

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Solution

The fourth proportional to 265,105.89, 365,725.26 and 157,614.84 is: 217,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,105.89 : 365,725.26 = 157,614.84 : x
  2. Step 2: Convert to fraction form
    265,105.89/365,725.26 = 157,614.84/x
  3. Step 3: Cross multiply
    265,105.89x = 365,725.26 × 157,614.84
  4. Step 4: Simplify right side
    265,105.89x = 57,643,728,338.86
  5. Step 5: Solve for x
    x = 57,643,728,338.86/265,105.89
  6. Step 6: Final answer
    x = 217,436.62

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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.