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Finding the Fourth Proportional to 206,788.44, 285,347.88 and 116,123.79

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Solution

The fourth proportional to 206,788.44, 285,347.88 and 116,123.79 is: 160,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,788.44 : 285,347.88 = 116,123.79 : x
  2. Step 2: Convert to fraction form
    206,788.44/285,347.88 = 116,123.79/x
  3. Step 3: Cross multiply
    206,788.44x = 285,347.88 × 116,123.79
  4. Step 4: Simplify right side
    206,788.44x = 33,135,677,294.07
  5. Step 5: Solve for x
    x = 33,135,677,294.07/206,788.44
  6. Step 6: Final answer
    x = 160,239.51

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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.