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Finding the Fourth Proportional to 205,561.96, 283,677.61 and 114,922.96

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Solution

The fourth proportional to 205,561.96, 283,677.61 and 114,922.96 is: 158,594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,561.96 : 283,677.61 = 114,922.96 : x
  2. Step 2: Convert to fraction form
    205,561.96/283,677.61 = 114,922.96/x
  3. Step 3: Cross multiply
    205,561.96x = 283,677.61 × 114,922.96
  4. Step 4: Simplify right side
    205,561.96x = 32,601,070,626.93
  5. Step 5: Solve for x
    x = 32,601,070,626.93/205,561.96
  6. Step 6: Final answer
    x = 158,594.86

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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.