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Finding the Fourth Proportional to 206,777,296.80, 285,352,670.88 and 113,957,805.96

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Solution

The fourth proportional to 206,777,296.80, 285,352,670.88 and 113,957,805.96 is: 157,261,772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,777,296.80 : 285,352,670.88 = 113,957,805.96 : x
  2. Step 2: Convert to fraction form
    206,777,296.80/285,352,670.88 = 113,957,805.96/x
  3. Step 3: Cross multiply
    206,777,296.80x = 285,352,670.88 × 113,957,805.96
  4. Step 4: Simplify right side
    206,777,296.80x = 32,518,164,298,310,780
  5. Step 5: Solve for x
    x = 32,518,164,298,310,780/206,777,296.80
  6. Step 6: Final answer
    x = 157,261,772.94

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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.