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Finding the Fourth Proportional to 206,283.30, 308,906.55 and 164,811.30

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Solution

The fourth proportional to 206,283.30, 308,906.55 and 164,811.30 is: 246,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,283.30 : 308,906.55 = 164,811.30 : x
  2. Step 2: Convert to fraction form
    206,283.30/308,906.55 = 164,811.30/x
  3. Step 3: Cross multiply
    206,283.30x = 308,906.55 × 164,811.30
  4. Step 4: Simplify right side
    206,283.30x = 50,911,290,084.02
  5. Step 5: Solve for x
    x = 50,911,290,084.02/206,283.30
  6. Step 6: Final answer
    x = 246,802.77

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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.