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Finding the Fourth Proportional to 198,473.63, 273,910.88 and 109,066.91

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Solution

The fourth proportional to 198,473.63, 273,910.88 and 109,066.91 is: 150,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,473.63 : 273,910.88 = 109,066.91 : x
  2. Step 2: Convert to fraction form
    198,473.63/273,910.88 = 109,066.91/x
  3. Step 3: Cross multiply
    198,473.63x = 273,910.88 × 109,066.91
  4. Step 4: Simplify right side
    198,473.63x = 29,874,612,200.09
  5. Step 5: Solve for x
    x = 29,874,612,200.09/198,473.63
  6. Step 6: Final answer
    x = 150,521.82

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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.