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Finding the Fourth Proportional to 101,968.27, 140,676.95 and 75,174.48

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Solution

The fourth proportional to 101,968.27, 140,676.95 and 75,174.48 is: 103,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,968.27 : 140,676.95 = 75,174.48 : x
  2. Step 2: Convert to fraction form
    101,968.27/140,676.95 = 75,174.48/x
  3. Step 3: Cross multiply
    101,968.27x = 140,676.95 × 75,174.48
  4. Step 4: Simplify right side
    101,968.27x = 10,575,316,752.17
  5. Step 5: Solve for x
    x = 10,575,316,752.17/101,968.27
  6. Step 6: Final answer
    x = 103,711.84

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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.