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Finding the Fourth Proportional to 206,272.20, 284,600.76 and 119,035.20

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Solution

The fourth proportional to 206,272.20, 284,600.76 and 119,035.20 is: 164,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,272.20 : 284,600.76 = 119,035.20 : x
  2. Step 2: Convert to fraction form
    206,272.20/284,600.76 = 119,035.20/x
  3. Step 3: Cross multiply
    206,272.20x = 284,600.76 × 119,035.20
  4. Step 4: Simplify right side
    206,272.20x = 33,877,508,386.75
  5. Step 5: Solve for x
    x = 33,877,508,386.75/206,272.20
  6. Step 6: Final answer
    x = 164,236.91

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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.