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Finding the Fourth Proportional to 206,518.07, 284,463.90 and 145,984.61

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Solution

The fourth proportional to 206,518.07, 284,463.90 and 145,984.61 is: 201,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,518.07 : 284,463.90 = 145,984.61 : x
  2. Step 2: Convert to fraction form
    206,518.07/284,463.90 = 145,984.61/x
  3. Step 3: Cross multiply
    206,518.07x = 284,463.90 × 145,984.61
  4. Step 4: Simplify right side
    206,518.07x = 41,527,352,211.74
  5. Step 5: Solve for x
    x = 41,527,352,211.74/206,518.07
  6. Step 6: Final answer
    x = 201,083.38

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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.