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Finding the Fourth Proportional to 100,548.49, 138,758.06 and 55,227.54

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Solution

The fourth proportional to 100,548.49, 138,758.06 and 55,227.54 is: 76,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,548.49 : 138,758.06 = 55,227.54 : x
  2. Step 2: Convert to fraction form
    100,548.49/138,758.06 = 55,227.54/x
  3. Step 3: Cross multiply
    100,548.49x = 138,758.06 × 55,227.54
  4. Step 4: Simplify right side
    100,548.49x = 7,663,266,186.87
  5. Step 5: Solve for x
    x = 7,663,266,186.87/100,548.49
  6. Step 6: Final answer
    x = 76,214.63

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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.