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Finding the Fourth Proportional to 206,412.80, 309,619.20 and 127,270.40

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Solution

The fourth proportional to 206,412.80, 309,619.20 and 127,270.40 is: 190,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,412.80 : 309,619.20 = 127,270.40 : x
  2. Step 2: Convert to fraction form
    206,412.80/309,619.20 = 127,270.40/x
  3. Step 3: Cross multiply
    206,412.80x = 309,619.20 × 127,270.40
  4. Step 4: Simplify right side
    206,412.80x = 39,405,359,431.68
  5. Step 5: Solve for x
    x = 39,405,359,431.68/206,412.80
  6. Step 6: Final answer
    x = 190,905.60

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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.