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Finding the Fourth Proportional to 205,465.96, 283,542.20 and 114,821.92

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Solution

The fourth proportional to 205,465.96, 283,542.20 and 114,821.92 is: 158,453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,465.96 : 283,542.20 = 114,821.92 : x
  2. Step 2: Convert to fraction form
    205,465.96/283,542.20 = 114,821.92/x
  3. Step 3: Cross multiply
    205,465.96x = 283,542.20 × 114,821.92
  4. Step 4: Simplify right side
    205,465.96x = 32,556,859,805.02
  5. Step 5: Solve for x
    x = 32,556,859,805.02/205,465.96
  6. Step 6: Final answer
    x = 158,453.79

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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.