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Finding the Fourth Proportional to 206,640.63, 309,853.26 and 73,501.56

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Solution

The fourth proportional to 206,640.63, 309,853.26 and 73,501.56 is: 110,214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,640.63 : 309,853.26 = 73,501.56 : x
  2. Step 2: Convert to fraction form
    206,640.63/309,853.26 = 73,501.56/x
  3. Step 3: Cross multiply
    206,640.63x = 309,853.26 × 73,501.56
  4. Step 4: Simplify right side
    206,640.63x = 22,774,697,981.09
  5. Step 5: Solve for x
    x = 22,774,697,981.09/206,640.63
  6. Step 6: Final answer
    x = 110,214.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.