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Finding the Fourth Proportional to 142,514.72, 196,656.24 and 78,843.68

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Solution

The fourth proportional to 142,514.72, 196,656.24 and 78,843.68 is: 108,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,514.72 : 196,656.24 = 78,843.68 : x
  2. Step 2: Convert to fraction form
    142,514.72/196,656.24 = 78,843.68/x
  3. Step 3: Cross multiply
    142,514.72x = 196,656.24 × 78,843.68
  4. Step 4: Simplify right side
    142,514.72x = 15,505,101,656.56
  5. Step 5: Solve for x
    x = 15,505,101,656.56/142,514.72
  6. Step 6: Final answer
    x = 108,796.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.