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Finding the Fourth Proportional to 206,584.70, 309,439.65 and 184,423.10

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Solution

The fourth proportional to 206,584.70, 309,439.65 and 184,423.10 is: 276,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,584.70 : 309,439.65 = 184,423.10 : x
  2. Step 2: Convert to fraction form
    206,584.70/309,439.65 = 184,423.10/x
  3. Step 3: Cross multiply
    206,584.70x = 309,439.65 × 184,423.10
  4. Step 4: Simplify right side
    206,584.70x = 57,067,819,515.92
  5. Step 5: Solve for x
    x = 57,067,819,515.92/206,584.70
  6. Step 6: Final answer
    x = 276,244.17

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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.