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Finding the Fourth Proportional to 206,423.20, 310,334.70 and 164,834.56

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Solution

The fourth proportional to 206,423.20, 310,334.70 and 164,834.56 is: 247,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,423.20 : 310,334.70 = 164,834.56 : x
  2. Step 2: Convert to fraction form
    206,423.20/310,334.70 = 164,834.56/x
  3. Step 3: Cross multiply
    206,423.20x = 310,334.70 × 164,834.56
  4. Step 4: Simplify right side
    206,423.20x = 51,153,883,727.23
  5. Step 5: Solve for x
    x = 51,153,883,727.23/206,423.20
  6. Step 6: Final answer
    x = 247,810.73

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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.