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Finding the Fourth Proportional to 200,209.92, 276,251.84 and 123,795.84

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Solution

The fourth proportional to 200,209.92, 276,251.84 and 123,795.84 is: 170,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,209.92 : 276,251.84 = 123,795.84 : x
  2. Step 2: Convert to fraction form
    200,209.92/276,251.84 = 123,795.84/x
  3. Step 3: Cross multiply
    200,209.92x = 276,251.84 × 123,795.84
  4. Step 4: Simplify right side
    200,209.92x = 34,198,828,584.35
  5. Step 5: Solve for x
    x = 34,198,828,584.35/200,209.92
  6. Step 6: Final answer
    x = 170,814.86

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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.