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Finding the Fourth Proportional to 206,252.34, 308,766.06 and 112,473.78

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Solution

The fourth proportional to 206,252.34, 308,766.06 and 112,473.78 is: 168,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,252.34 : 308,766.06 = 112,473.78 : x
  2. Step 2: Convert to fraction form
    206,252.34/308,766.06 = 112,473.78/x
  3. Step 3: Cross multiply
    206,252.34x = 308,766.06 × 112,473.78
  4. Step 4: Simplify right side
    206,252.34x = 34,728,085,903.91
  5. Step 5: Solve for x
    x = 34,728,085,903.91/206,252.34
  6. Step 6: Final answer
    x = 168,376.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.