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Finding the Fourth Proportional to 206,023.80, 309,230.10 and 127,291.80

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Solution

The fourth proportional to 206,023.80, 309,230.10 and 127,291.80 is: 191,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,023.80 : 309,230.10 = 127,291.80 : x
  2. Step 2: Convert to fraction form
    206,023.80/309,230.10 = 127,291.80/x
  3. Step 3: Cross multiply
    206,023.80x = 309,230.10 × 127,291.80
  4. Step 4: Simplify right side
    206,023.80x = 39,362,456,043.18
  5. Step 5: Solve for x
    x = 39,362,456,043.18/206,023.80
  6. Step 6: Final answer
    x = 191,057.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.