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Finding the Fourth Proportional to 206,375.70, 284,813.19 and 114,525.12

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Solution

The fourth proportional to 206,375.70, 284,813.19 and 114,525.12 is: 158,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,375.70 : 284,813.19 = 114,525.12 : x
  2. Step 2: Convert to fraction form
    206,375.70/284,813.19 = 114,525.12/x
  3. Step 3: Cross multiply
    206,375.70x = 284,813.19 × 114,525.12
  4. Step 4: Simplify right side
    206,375.70x = 32,618,264,762.33
  5. Step 5: Solve for x
    x = 32,618,264,762.33/206,375.70
  6. Step 6: Final answer
    x = 158,052.84

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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.