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Finding the Fourth Proportional to 206,834.80, 310,252.20 and 154,346.80

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Solution

The fourth proportional to 206,834.80, 310,252.20 and 154,346.80 is: 231,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,834.80 : 310,252.20 = 154,346.80 : x
  2. Step 2: Convert to fraction form
    206,834.80/310,252.20 = 154,346.80/x
  3. Step 3: Cross multiply
    206,834.80x = 310,252.20 × 154,346.80
  4. Step 4: Simplify right side
    206,834.80x = 47,886,434,262.96
  5. Step 5: Solve for x
    x = 47,886,434,262.96/206,834.80
  6. Step 6: Final answer
    x = 231,520.20

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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.