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Finding the Fourth Proportional to 206,120.50, 284,446.32 and 116,696.50

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Solution

The fourth proportional to 206,120.50, 284,446.32 and 116,696.50 is: 161,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,120.50 : 284,446.32 = 116,696.50 : x
  2. Step 2: Convert to fraction form
    206,120.50/284,446.32 = 116,696.50/x
  3. Step 3: Cross multiply
    206,120.50x = 284,446.32 × 116,696.50
  4. Step 4: Simplify right side
    206,120.50x = 33,193,889,981.88
  5. Step 5: Solve for x
    x = 33,193,889,981.88/206,120.50
  6. Step 6: Final answer
    x = 161,041.19

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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.