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Finding the Fourth Proportional to 159,941.56, 240,067.86 and 76,893.88

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Solution

The fourth proportional to 159,941.56, 240,067.86 and 76,893.88 is: 115,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,941.56 : 240,067.86 = 76,893.88 : x
  2. Step 2: Convert to fraction form
    159,941.56/240,067.86 = 76,893.88/x
  3. Step 3: Cross multiply
    159,941.56x = 240,067.86 × 76,893.88
  4. Step 4: Simplify right side
    159,941.56x = 18,459,749,218.70
  5. Step 5: Solve for x
    x = 18,459,749,218.70/159,941.56
  6. Step 6: Final answer
    x = 115,415.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.