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Finding the Fourth Proportional to 206,137.50, 284,470.38 and 120,147.36

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Solution

The fourth proportional to 206,137.50, 284,470.38 and 120,147.36 is: 165,803.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,137.50 : 284,470.38 = 120,147.36 : x
  2. Step 2: Convert to fraction form
    206,137.50/284,470.38 = 120,147.36/x
  3. Step 3: Cross multiply
    206,137.50x = 284,470.38 × 120,147.36
  4. Step 4: Simplify right side
    206,137.50x = 34,178,365,155.20
  5. Step 5: Solve for x
    x = 34,178,365,155.20/206,137.50
  6. Step 6: Final answer
    x = 165,803.72

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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.