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Finding the Fourth Proportional to 100,247.72, 138,324.27 and 57,207.56

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Solution

The fourth proportional to 100,247.72, 138,324.27 and 57,207.56 is: 78,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,247.72 : 138,324.27 = 57,207.56 : x
  2. Step 2: Convert to fraction form
    100,247.72/138,324.27 = 57,207.56/x
  3. Step 3: Cross multiply
    100,247.72x = 138,324.27 × 57,207.56
  4. Step 4: Simplify right side
    100,247.72x = 7,913,193,343.63
  5. Step 5: Solve for x
    x = 7,913,193,343.63/100,247.72
  6. Step 6: Final answer
    x = 78,936.39

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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.