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Finding the Fourth Proportional to 205,412.40, 308,410.20 and 126,680.40

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Solution

The fourth proportional to 205,412.40, 308,410.20 and 126,680.40 is: 190,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,412.40 : 308,410.20 = 126,680.40 : x
  2. Step 2: Convert to fraction form
    205,412.40/308,410.20 = 126,680.40/x
  3. Step 3: Cross multiply
    205,412.40x = 308,410.20 × 126,680.40
  4. Step 4: Simplify right side
    205,412.40x = 39,069,527,500.08
  5. Step 5: Solve for x
    x = 39,069,527,500.08/205,412.40
  6. Step 6: Final answer
    x = 190,200.43

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