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Finding the Fourth Proportional to 205,560.96, 283,676.23 and 114,921.96

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Solution

The fourth proportional to 205,560.96, 283,676.23 and 114,921.96 is: 158,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,560.96 : 283,676.23 = 114,921.96 : x
  2. Step 2: Convert to fraction form
    205,560.96/283,676.23 = 114,921.96/x
  3. Step 3: Cross multiply
    205,560.96x = 283,676.23 × 114,921.96
  4. Step 4: Simplify right side
    205,560.96x = 32,600,626,938.63
  5. Step 5: Solve for x
    x = 32,600,626,938.63/205,560.96
  6. Step 6: Final answer
    x = 158,593.48

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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.