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Finding the Fourth Proportional to 206,624.84, 285,146.49 and 115,987.34

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Solution

The fourth proportional to 206,624.84, 285,146.49 and 115,987.34 is: 160,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,624.84 : 285,146.49 = 115,987.34 : x
  2. Step 2: Convert to fraction form
    206,624.84/285,146.49 = 115,987.34/x
  3. Step 3: Cross multiply
    206,624.84x = 285,146.49 × 115,987.34
  4. Step 4: Simplify right side
    206,624.84x = 33,073,382,885.44
  5. Step 5: Solve for x
    x = 33,073,382,885.44/206,624.84
  6. Step 6: Final answer
    x = 160,064.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.