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Finding the Fourth Proportional to 206,274.56, 284,658.56 and 125,702.40

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Solution

The fourth proportional to 206,274.56, 284,658.56 and 125,702.40 is: 173,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,274.56 : 284,658.56 = 125,702.40 : x
  2. Step 2: Convert to fraction form
    206,274.56/284,658.56 = 125,702.40/x
  3. Step 3: Cross multiply
    206,274.56x = 284,658.56 × 125,702.40
  4. Step 4: Simplify right side
    206,274.56x = 35,782,264,172.54
  5. Step 5: Solve for x
    x = 35,782,264,172.54/206,274.56
  6. Step 6: Final answer
    x = 173,469.11

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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.