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Finding the Fourth Proportional to 206,483.94, 284,947.94 and 120,502.04

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Solution

The fourth proportional to 206,483.94, 284,947.94 and 120,502.04 is: 166,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,483.94 : 284,947.94 = 120,502.04 : x
  2. Step 2: Convert to fraction form
    206,483.94/284,947.94 = 120,502.04/x
  3. Step 3: Cross multiply
    206,483.94x = 284,947.94 × 120,502.04
  4. Step 4: Simplify right side
    206,483.94x = 34,336,806,940.31
  5. Step 5: Solve for x
    x = 34,336,806,940.31/206,483.94
  6. Step 6: Final answer
    x = 166,292.87

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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.