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Finding the Fourth Proportional to 206,379.34, 284,698.56 and 134,801.26

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Solution

The fourth proportional to 206,379.34, 284,698.56 and 134,801.26 is: 185,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,379.34 : 284,698.56 = 134,801.26 : x
  2. Step 2: Convert to fraction form
    206,379.34/284,698.56 = 134,801.26/x
  3. Step 3: Cross multiply
    206,379.34x = 284,698.56 × 134,801.26
  4. Step 4: Simplify right side
    206,379.34x = 38,377,724,608.19
  5. Step 5: Solve for x
    x = 38,377,724,608.19/206,379.34
  6. Step 6: Final answer
    x = 185,957.20

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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.