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Finding the Fourth Proportional to 200,398.91, 276,550.59 and 109,760.58

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Solution

The fourth proportional to 200,398.91, 276,550.59 and 109,760.58 is: 151,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,398.91 : 276,550.59 = 109,760.58 : x
  2. Step 2: Convert to fraction form
    200,398.91/276,550.59 = 109,760.58/x
  3. Step 3: Cross multiply
    200,398.91x = 276,550.59 × 109,760.58
  4. Step 4: Simplify right side
    200,398.91x = 30,354,352,053.84
  5. Step 5: Solve for x
    x = 30,354,352,053.84/200,398.91
  6. Step 6: Final answer
    x = 151,469.65

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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.