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Finding the Fourth Proportional to 206,098, 284,415.24 and 116,674

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Solution

The fourth proportional to 206,098, 284,415.24 and 116,674 is: 161,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,098 : 284,415.24 = 116,674 : x
  2. Step 2: Convert to fraction form
    206,098/284,415.24 = 116,674/x
  3. Step 3: Cross multiply
    206,098x = 284,415.24 × 116,674
  4. Step 4: Simplify right side
    206,098x = 33,183,863,711.76
  5. Step 5: Solve for x
    x = 33,183,863,711.76/206,098
  6. Step 6: Final answer
    x = 161,010.12

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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.