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Finding the Fourth Proportional to 206,812.62, 310,481.43 and 175,844.70

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Solution

The fourth proportional to 206,812.62, 310,481.43 and 175,844.70 is: 263,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,812.62 : 310,481.43 = 175,844.70 : x
  2. Step 2: Convert to fraction form
    206,812.62/310,481.43 = 175,844.70/x
  3. Step 3: Cross multiply
    206,812.62x = 310,481.43 × 175,844.70
  4. Step 4: Simplify right side
    206,812.62x = 54,596,513,913.92
  5. Step 5: Solve for x
    x = 54,596,513,913.92/206,812.62
  6. Step 6: Final answer
    x = 263,990.24

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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.