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Finding the Fourth Proportional to 206,366.94, 284,846.85 and 134,758.08

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Solution

The fourth proportional to 206,366.94, 284,846.85 and 134,758.08 is: 186,005.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,366.94 : 284,846.85 = 134,758.08 : x
  2. Step 2: Convert to fraction form
    206,366.94/284,846.85 = 134,758.08/x
  3. Step 3: Cross multiply
    206,366.94x = 284,846.85 × 134,758.08
  4. Step 4: Simplify right side
    206,366.94x = 38,385,414,600.05
  5. Step 5: Solve for x
    x = 38,385,414,600.05/206,366.94
  6. Step 6: Final answer
    x = 186,005.64

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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.