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Finding the Fourth Proportional to 100,471.72, 138,648.26 and 55,149.64

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Solution

The fourth proportional to 100,471.72, 138,648.26 and 55,149.64 is: 76,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,471.72 : 138,648.26 = 55,149.64 : x
  2. Step 2: Convert to fraction form
    100,471.72/138,648.26 = 55,149.64/x
  3. Step 3: Cross multiply
    100,471.72x = 138,648.26 × 55,149.64
  4. Step 4: Simplify right side
    100,471.72x = 7,646,401,625.63
  5. Step 5: Solve for x
    x = 7,646,401,625.63/100,471.72
  6. Step 6: Final answer
    x = 76,105.01

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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.