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Finding the Fourth Proportional to 100,147.38, 138,203.68 and 54,825.75

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Solution

The fourth proportional to 100,147.38, 138,203.68 and 54,825.75 is: 75,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,147.38 : 138,203.68 = 54,825.75 : x
  2. Step 2: Convert to fraction form
    100,147.38/138,203.68 = 54,825.75/x
  3. Step 3: Cross multiply
    100,147.38x = 138,203.68 × 54,825.75
  4. Step 4: Simplify right side
    100,147.38x = 7,577,120,408.76
  5. Step 5: Solve for x
    x = 7,577,120,408.76/100,147.38
  6. Step 6: Final answer
    x = 75,659.70

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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.