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Finding the Fourth Proportional to 206,925.20, 285,535.50 and 116,266.76

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Solution

The fourth proportional to 206,925.20, 285,535.50 and 116,266.76 is: 160,436.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,925.20 : 285,535.50 = 116,266.76 : x
  2. Step 2: Convert to fraction form
    206,925.20/285,535.50 = 116,266.76/x
  3. Step 3: Cross multiply
    206,925.20x = 285,535.50 × 116,266.76
  4. Step 4: Simplify right side
    206,925.20x = 33,198,287,449.98
  5. Step 5: Solve for x
    x = 33,198,287,449.98/206,925.20
  6. Step 6: Final answer
    x = 160,436.17

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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.