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Finding the Fourth Proportional to 100,548.81, 138,757.66 and 55,227.69

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Solution

The fourth proportional to 100,548.81, 138,757.66 and 55,227.69 is: 76,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,548.81 : 138,757.66 = 55,227.69 : x
  2. Step 2: Convert to fraction form
    100,548.81/138,757.66 = 55,227.69/x
  3. Step 3: Cross multiply
    100,548.81x = 138,757.66 × 55,227.69
  4. Step 4: Simplify right side
    100,548.81x = 7,663,264,893.54
  5. Step 5: Solve for x
    x = 7,663,264,893.54/100,548.81
  6. Step 6: Final answer
    x = 76,214.38

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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.