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Finding the Fourth Proportional to 206,846.24, 310,329.84 and 66,601.76

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Solution

The fourth proportional to 206,846.24, 310,329.84 and 66,601.76 is: 99,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,846.24 : 310,329.84 = 66,601.76 : x
  2. Step 2: Convert to fraction form
    206,846.24/310,329.84 = 66,601.76/x
  3. Step 3: Cross multiply
    206,846.24x = 310,329.84 × 66,601.76
  4. Step 4: Simplify right side
    206,846.24x = 20,668,513,524.52
  5. Step 5: Solve for x
    x = 20,668,513,524.52/206,846.24
  6. Step 6: Final answer
    x = 99,922.11

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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.