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Finding the Fourth Proportional to 265,270.78, 366,016.92 and 157,819.81

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Solution

The fourth proportional to 265,270.78, 366,016.92 and 157,819.81 is: 217,757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,270.78 : 366,016.92 = 157,819.81 : x
  2. Step 2: Convert to fraction form
    265,270.78/366,016.92 = 157,819.81/x
  3. Step 3: Cross multiply
    265,270.78x = 366,016.92 × 157,819.81
  4. Step 4: Simplify right side
    265,270.78x = 57,764,720,771.19
  5. Step 5: Solve for x
    x = 57,764,720,771.19/265,270.78
  6. Step 6: Final answer
    x = 217,757.57

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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.