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Finding the Fourth Proportional to 100,125.88, 138,173.38 and 54,185.44

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Solution

The fourth proportional to 100,125.88, 138,173.38 and 54,185.44 is: 74,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,125.88 : 138,173.38 = 54,185.44 : x
  2. Step 2: Convert to fraction form
    100,125.88/138,173.38 = 54,185.44/x
  3. Step 3: Cross multiply
    100,125.88x = 138,173.38 × 54,185.44
  4. Step 4: Simplify right side
    100,125.88x = 7,486,985,391.59
  5. Step 5: Solve for x
    x = 7,486,985,391.59/100,125.88
  6. Step 6: Final answer
    x = 74,775.73

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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.