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Finding the Fourth Proportional to 206,250.80, 284,603.30 and 114,367.78

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Solution

The fourth proportional to 206,250.80, 284,603.30 and 114,367.78 is: 157,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,250.80 : 284,603.30 = 114,367.78 : x
  2. Step 2: Convert to fraction form
    206,250.80/284,603.30 = 114,367.78/x
  3. Step 3: Cross multiply
    206,250.80x = 284,603.30 × 114,367.78
  4. Step 4: Simplify right side
    206,250.80x = 32,549,446,850.37
  5. Step 5: Solve for x
    x = 32,549,446,850.37/206,250.80
  6. Step 6: Final answer
    x = 157,814.89

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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.