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Finding the Fourth Proportional to 206,373.01, 284,797.88 and 120,329.65

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Solution

The fourth proportional to 206,373.01, 284,797.88 and 120,329.65 is: 166,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,373.01 : 284,797.88 = 120,329.65 : x
  2. Step 2: Convert to fraction form
    206,373.01/284,797.88 = 120,329.65/x
  3. Step 3: Cross multiply
    206,373.01x = 284,797.88 × 120,329.65
  4. Step 4: Simplify right side
    206,373.01x = 34,269,629,221.14
  5. Step 5: Solve for x
    x = 34,269,629,221.14/206,373.01
  6. Step 6: Final answer
    x = 166,056.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.