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Finding the Fourth Proportional to 203,199.84, 280,383.12 and 127,694.88

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Solution

The fourth proportional to 203,199.84, 280,383.12 and 127,694.88 is: 176,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,199.84 : 280,383.12 = 127,694.88 : x
  2. Step 2: Convert to fraction form
    203,199.84/280,383.12 = 127,694.88/x
  3. Step 3: Cross multiply
    203,199.84x = 280,383.12 × 127,694.88
  4. Step 4: Simplify right side
    203,199.84x = 35,803,488,862.43
  5. Step 5: Solve for x
    x = 35,803,488,862.43/203,199.84
  6. Step 6: Final answer
    x = 176,198.41

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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.