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Finding the Fourth Proportional to 101,769.44, 140,294.24 and 71,462.48

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Solution

The fourth proportional to 101,769.44, 140,294.24 and 71,462.48 is: 98,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,769.44 : 140,294.24 = 71,462.48 : x
  2. Step 2: Convert to fraction form
    101,769.44/140,294.24 = 71,462.48/x
  3. Step 3: Cross multiply
    101,769.44x = 140,294.24 × 71,462.48
  4. Step 4: Simplify right side
    101,769.44x = 10,025,774,320.12
  5. Step 5: Solve for x
    x = 10,025,774,320.12/101,769.44
  6. Step 6: Final answer
    x = 98,514.59

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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.