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Finding the Fourth Proportional to 142,399.31, 196,514.98 and 78,739.38

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Solution

The fourth proportional to 142,399.31, 196,514.98 and 78,739.38 is: 108,662.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,399.31 : 196,514.98 = 78,739.38 : x
  2. Step 2: Convert to fraction form
    142,399.31/196,514.98 = 78,739.38/x
  3. Step 3: Cross multiply
    142,399.31x = 196,514.98 × 78,739.38
  4. Step 4: Simplify right side
    142,399.31x = 15,473,467,489.06
  5. Step 5: Solve for x
    x = 15,473,467,489.06/142,399.31
  6. Step 6: Final answer
    x = 108,662.52

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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.