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Finding the Fourth Proportional to 206,411.30, 284,583.92 and 133,685.70

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Solution

The fourth proportional to 206,411.30, 284,583.92 and 133,685.70 is: 184,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,411.30 : 284,583.92 = 133,685.70 : x
  2. Step 2: Convert to fraction form
    206,411.30/284,583.92 = 133,685.70/x
  3. Step 3: Cross multiply
    206,411.30x = 284,583.92 × 133,685.70
  4. Step 4: Simplify right side
    206,411.30x = 38,044,800,553.94
  5. Step 5: Solve for x
    x = 38,044,800,553.94/206,411.30
  6. Step 6: Final answer
    x = 184,315.49

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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.