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Finding the Fourth Proportional to 206,404.39, 284,840.40 and 114,525.33

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Solution

The fourth proportional to 206,404.39, 284,840.40 and 114,525.33 is: 158,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,404.39 : 284,840.40 = 114,525.33 : x
  2. Step 2: Convert to fraction form
    206,404.39/284,840.40 = 114,525.33/x
  3. Step 3: Cross multiply
    206,404.39x = 284,840.40 × 114,525.33
  4. Step 4: Simplify right side
    206,404.39x = 32,621,441,450.85
  5. Step 5: Solve for x
    x = 32,621,441,450.85/206,404.39
  6. Step 6: Final answer
    x = 158,046.26

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1.5x scale

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.