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Finding the Fourth Proportional to 206,754.48, 285,111.18 and 194,699.88

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Solution

The fourth proportional to 206,754.48, 285,111.18 and 194,699.88 is: 268,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,754.48 : 285,111.18 = 194,699.88 : x
  2. Step 2: Convert to fraction form
    206,754.48/285,111.18 = 194,699.88/x
  3. Step 3: Cross multiply
    206,754.48x = 285,111.18 × 194,699.88
  4. Step 4: Simplify right side
    206,754.48x = 55,511,112,532.66
  5. Step 5: Solve for x
    x = 55,511,112,532.66/206,754.48
  6. Step 6: Final answer
    x = 268,488.08

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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.