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Finding the Fourth Proportional to 206,017.20, 309,025.80 and 127,285.20

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Solution

The fourth proportional to 206,017.20, 309,025.80 and 127,285.20 is: 190,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,017.20 : 309,025.80 = 127,285.20 : x
  2. Step 2: Convert to fraction form
    206,017.20/309,025.80 = 127,285.20/x
  3. Step 3: Cross multiply
    206,017.20x = 309,025.80 × 127,285.20
  4. Step 4: Simplify right side
    206,017.20x = 39,334,410,758.16
  5. Step 5: Solve for x
    x = 39,334,410,758.16/206,017.20
  6. Step 6: Final answer
    x = 190,927.80

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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.