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Finding the Fourth Proportional to 206,470.60, 284,627.85 and 145,934.44

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Solution

The fourth proportional to 206,470.60, 284,627.85 and 145,934.44 is: 201,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,470.60 : 284,627.85 = 145,934.44 : x
  2. Step 2: Convert to fraction form
    206,470.60/284,627.85 = 145,934.44/x
  3. Step 3: Cross multiply
    206,470.60x = 284,627.85 × 145,934.44
  4. Step 4: Simplify right side
    206,470.60x = 41,537,005,898.15
  5. Step 5: Solve for x
    x = 41,537,005,898.15/206,470.60
  6. Step 6: Final answer
    x = 201,176.37

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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.