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Finding the Fourth Proportional to 206,367.69, 284,847.89 and 134,758.83

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Solution

The fourth proportional to 206,367.69, 284,847.89 and 134,758.83 is: 186,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,367.69 : 284,847.89 = 134,758.83 : x
  2. Step 2: Convert to fraction form
    206,367.69/284,847.89 = 134,758.83/x
  3. Step 3: Cross multiply
    206,367.69x = 284,847.89 × 134,758.83
  4. Step 4: Simplify right side
    206,367.69x = 38,385,767,710.57
  5. Step 5: Solve for x
    x = 38,385,767,710.57/206,367.69
  6. Step 6: Final answer
    x = 186,006.67

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1.5x scale

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.