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Finding the Fourth Proportional to 205,994.97, 284,249.57 and 115,338.33

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Solution

The fourth proportional to 205,994.97, 284,249.57 and 115,338.33 is: 159,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,994.97 : 284,249.57 = 115,338.33 : x
  2. Step 2: Convert to fraction form
    205,994.97/284,249.57 = 115,338.33/x
  3. Step 3: Cross multiply
    205,994.97x = 284,249.57 × 115,338.33
  4. Step 4: Simplify right side
    205,994.97x = 32,784,870,130.33
  5. Step 5: Solve for x
    x = 32,784,870,130.33/205,994.97
  6. Step 6: Final answer
    x = 159,153.74

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1.5x scale

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.